diff options
Diffstat (limited to '149/CH21')
38 files changed, 265 insertions, 0 deletions
diff --git a/149/CH21/EX21.1.1/ques1_1.sce b/149/CH21/EX21.1.1/ques1_1.sce new file mode 100755 index 000000000..f33f28930 --- /dev/null +++ b/149/CH21/EX21.1.1/ques1_1.sce @@ -0,0 +1,4 @@ +//ques1(i)
+disp('To find the laplace of given function in t ');
+syms t s
+disp(laplace(sin(2*t)*sin(3*t),t,s));
\ No newline at end of file diff --git a/149/CH21/EX21.1.2/ques1_2.sce b/149/CH21/EX21.1.2/ques1_2.sce new file mode 100755 index 000000000..c9f5b89bd --- /dev/null +++ b/149/CH21/EX21.1.2/ques1_2.sce @@ -0,0 +1,4 @@ +//ques1(ii)
+disp('To find the laplace of given function in t ');
+syms t s
+disp(laplace((cos(t))^2,t,s));
\ No newline at end of file diff --git a/149/CH21/EX21.1.3/ques1_3.sce b/149/CH21/EX21.1.3/ques1_3.sce new file mode 100755 index 000000000..a5b27d22a --- /dev/null +++ b/149/CH21/EX21.1.3/ques1_3.sce @@ -0,0 +1,4 @@ +//ques1(ii)
+disp('To find the laplace of given function in t ');
+syms t s
+disp(laplace((sin(t))^3,t,s));
\ No newline at end of file diff --git a/149/CH21/EX21.10.1/ques10_1.sce b/149/CH21/EX21.10.1/ques10_1.sce new file mode 100755 index 000000000..49fc4ccb0 --- /dev/null +++ b/149/CH21/EX21.10.1/ques10_1.sce @@ -0,0 +1,10 @@ +//ques10(i)
+clc
+disp('To find the the given integral find the laplace of tsin(t) and put s=2 ');
+syms t s m
+f=sin(t)*t;
+
+l=laplace(f,t,s)
+s=2
+
+disp(eval(l));
diff --git a/149/CH21/EX21.10.3/ques10_3.sce b/149/CH21/EX21.10.3/ques10_3.sce new file mode 100755 index 000000000..dba1f2507 --- /dev/null +++ b/149/CH21/EX21.10.3/ques10_3.sce @@ -0,0 +1,9 @@ +//error
+//ques10
+clc
+disp('To find the laplace of given function in t ');
+syms t s a b
+f=integ(exp(t)*sin(t)/t,t,0,t);
+
+l=laplace(f,t,s)
+disp(l);
diff --git a/149/CH21/EX21.11.1/ques11_1.sce b/149/CH21/EX21.11.1/ques11_1.sce new file mode 100755 index 000000000..31ba7e9b0 --- /dev/null +++ b/149/CH21/EX21.11.1/ques11_1.sce @@ -0,0 +1,6 @@ +//ques11
+disp('To find the inverse laplace transform of the function');
+syms s t
+f=(s^2-3*s+4)/s^3;
+il=ilaplace(f,s,t);
+disp(il);
diff --git a/149/CH21/EX21.11.2/ques11_2.sce b/149/CH21/EX21.11.2/ques11_2.sce new file mode 100755 index 000000000..0aa2b2343 --- /dev/null +++ b/149/CH21/EX21.11.2/ques11_2.sce @@ -0,0 +1,6 @@ +//ques11
+disp('To find the inverse laplace transform of the function');
+syms s t
+f=(s+2)/(2*s^2-4*s+13));
+il=ilaplace(f,s,t);
+disp(il);
diff --git a/149/CH21/EX21.12.1/ques12_1.sce b/149/CH21/EX21.12.1/ques12_1.sce new file mode 100755 index 000000000..0e10172c0 --- /dev/null +++ b/149/CH21/EX21.12.1/ques12_1.sce @@ -0,0 +1,6 @@ +//ques11
+disp('To find the inverse laplace transform of the function');
+syms s t
+f=((2*s^2-6*s+5)/(s^3-6*s^2+11*s-6);
+il=ilaplace(f,s,t);
+disp(il);
diff --git a/149/CH21/EX21.12.3/ques12_3.sce b/149/CH21/EX21.12.3/ques12_3.sce new file mode 100755 index 000000000..6c26a0074 --- /dev/null +++ b/149/CH21/EX21.12.3/ques12_3.sce @@ -0,0 +1,6 @@ +//ques11
+disp('To find the inverse laplace transform of the function');
+syms s t
+f=(4*s+5)/((s-1)^2*(s+2));
+il=ilaplace(f,s,t);
+disp(il);
diff --git a/149/CH21/EX21.13.1/ques13_1.sce b/149/CH21/EX21.13.1/ques13_1.sce new file mode 100755 index 000000000..b1eb53f47 --- /dev/null +++ b/149/CH21/EX21.13.1/ques13_1.sce @@ -0,0 +1,6 @@ +//ques11
+disp('To find the inverse laplace transform of the function');
+syms s t
+f=(5*s+3)/((s-1)*(s^2+2*s+5));
+il=ilaplace(f,s,t);
+disp(il);
diff --git a/149/CH21/EX21.13.2/ques13_2.sce b/149/CH21/EX21.13.2/ques13_2.sce new file mode 100755 index 000000000..519d36c7d --- /dev/null +++ b/149/CH21/EX21.13.2/ques13_2.sce @@ -0,0 +1,8 @@ +//error no output
+//ques11
+
+disp('To find the inverse laplace transform of the function');
+syms s t a
+f=s/(s^4+4*a^4);
+il=ilaplace(f,s,t);
+disp(il);
diff --git a/149/CH21/EX21.14.1/ques14_1.sce b/149/CH21/EX21.14.1/ques14_1.sce new file mode 100755 index 000000000..5da1741c4 --- /dev/null +++ b/149/CH21/EX21.14.1/ques14_1.sce @@ -0,0 +1,8 @@ +
+//ques14
+disp('To find the inverse laplace transform of the function');
+syms s t a
+f=s^2/(s-2)^3;
+il=ilaplace(f,s,t);
+disp(il);
+
diff --git a/149/CH21/EX21.14.2/ques14_2.sce b/149/CH21/EX21.14.2/ques14_2.sce new file mode 100755 index 000000000..787e2e457 --- /dev/null +++ b/149/CH21/EX21.14.2/ques14_2.sce @@ -0,0 +1,8 @@ +
+//ques14
+disp('To find the inverse laplace transform of the function');
+syms s t a
+f=(s+3)/((s^2-4*s+13));
+il=ilaplace(f,s,t);
+disp(il);
+
diff --git a/149/CH21/EX21.15.1/ques15_1.sce b/149/CH21/EX21.15.1/ques15_1.sce new file mode 100755 index 000000000..b7316d1ad --- /dev/null +++ b/149/CH21/EX21.15.1/ques15_1.sce @@ -0,0 +1,8 @@ +//no outp
+//ques15
+disp('To find the inverse laplace transform of the function');
+syms s t a
+f=1/(s*(s^2+a^2));
+il=ilaplace(f,s,t);
+disp(il);
+
diff --git a/149/CH21/EX21.15.2/ques15_2.sce b/149/CH21/EX21.15.2/ques15_2.sce new file mode 100755 index 000000000..2ca7e2761 --- /dev/null +++ b/149/CH21/EX21.15.2/ques15_2.sce @@ -0,0 +1,8 @@ +
+//ques15
+disp('To find the inverse laplace transform of the function');
+syms s t a
+f=1/(s*(s+a)^3);
+il=ilaplace(f,s,t);
+disp(il);
+
diff --git a/149/CH21/EX21.16.1/ques16_1.sce b/149/CH21/EX21.16.1/ques16_1.sce new file mode 100755 index 000000000..3969b158c --- /dev/null +++ b/149/CH21/EX21.16.1/ques16_1.sce @@ -0,0 +1,8 @@ +//no outp
+//ques15
+disp('To find the inverse laplace transform of the function');
+syms s t a
+f=s/((s^2+a^2)^2);
+il=ilaplace(f,s,t);
+disp(il);
+
diff --git a/149/CH21/EX21.16.2/ques16_2.sce b/149/CH21/EX21.16.2/ques16_2.sce new file mode 100755 index 000000000..52e3991eb --- /dev/null +++ b/149/CH21/EX21.16.2/ques16_2.sce @@ -0,0 +1,8 @@ +//no output
+//ques15
+disp('To find the inverse laplace transform of the function');
+syms s t a
+f=s^2/((s^2+a^2)^2);
+il=ilaplace(f,s,t);
+disp(il);
+
diff --git a/149/CH21/EX21.16.3/ques16_3.sce b/149/CH21/EX21.16.3/ques16_3.sce new file mode 100755 index 000000000..40e5224ee --- /dev/null +++ b/149/CH21/EX21.16.3/ques16_3.sce @@ -0,0 +1,9 @@ +//no output
+//ques15
+disp('To find the inverse laplace transform of the function');
+syms s t a
+
+f=1/((s^2+a^2)^2);
+il=ilaplace(f,s,t);
+disp(il);
+
diff --git a/149/CH21/EX21.17.1/ques17_1.sce b/149/CH21/EX21.17.1/ques17_1.sce new file mode 100755 index 000000000..2a4f78553 --- /dev/null +++ b/149/CH21/EX21.17.1/ques17_1.sce @@ -0,0 +1,9 @@ +//no output
+//ques15
+disp('To find the inverse laplace transform of the function');
+syms s t a
+
+f=(s+2)/(s^2*(s+1)*(s-2));
+il=ilaplace(f,s,t);
+disp(il);
+
diff --git a/149/CH21/EX21.17.2/ques17_2.sce b/149/CH21/EX21.17.2/ques17_2.sce new file mode 100755 index 000000000..dc1948bc0 --- /dev/null +++ b/149/CH21/EX21.17.2/ques17_2.sce @@ -0,0 +1,9 @@ +//no output
+//ques15
+disp('To find the inverse laplace transform of the function');
+syms s t a
+
+f=(s+2)/(s^2+4*s+5)^2;
+il=ilaplace(f,s,t);
+disp(il);
+
diff --git a/149/CH21/EX21.19.1/ques19_1.sce b/149/CH21/EX21.19.1/ques19_1.sce new file mode 100755 index 000000000..32c0bcd1d --- /dev/null +++ b/149/CH21/EX21.19.1/ques19_1.sce @@ -0,0 +1,9 @@ +//error no output
+//ques18
+disp('To find the inverse laplace transform of the function');
+syms s t a
+
+f=s/(s^2+a^2)^2;
+il=ilaplace(f,s,t);
+disp(il);
+
diff --git a/149/CH21/EX21.19.2/ques19_2.sce b/149/CH21/EX21.19.2/ques19_2.sce new file mode 100755 index 000000000..75bb2301a --- /dev/null +++ b/149/CH21/EX21.19.2/ques19_2.sce @@ -0,0 +1,9 @@ +//error no output
+//ques18
+disp('To find the inverse laplace transform of the function');
+syms s t a b
+
+f=s^2/((s^2+a^2)*(s^2+b^2));
+il=ilaplace(f,s,t);
+disp(il);
+
diff --git a/149/CH21/EX21.2.1/ques2_1.sce b/149/CH21/EX21.2.1/ques2_1.sce new file mode 100755 index 000000000..694e4fdbf --- /dev/null +++ b/149/CH21/EX21.2.1/ques2_1.sce @@ -0,0 +1,5 @@ +//ques1(ii)
+disp('To find the laplace of given function in t ');
+syms t s
+f=exp(-3*t)*(2*cos(5*t)-3*sin(5*t));
+disp(laplace(f,t,s));
\ No newline at end of file diff --git a/149/CH21/EX21.2.2/ques2_2.sce b/149/CH21/EX21.2.2/ques2_2.sce new file mode 100755 index 000000000..dcba00381 --- /dev/null +++ b/149/CH21/EX21.2.2/ques2_2.sce @@ -0,0 +1,6 @@ +//ques1(ii)
+clc
+disp('To find the laplace of given function in t ');
+syms t s
+f=exp(3*t)*(sin(t))^2;
+disp(laplace(f,t,s));
\ No newline at end of file diff --git a/149/CH21/EX21.2.3/ques2_3.sce b/149/CH21/EX21.2.3/ques2_3.sce new file mode 100755 index 000000000..5215ed910 --- /dev/null +++ b/149/CH21/EX21.2.3/ques2_3.sce @@ -0,0 +1,6 @@ +//ques1(ii)
+clc
+disp('To find the laplace of given function in t ');
+syms t s
+f=exp(4*t)*(cos(t)*sin(2*t));
+disp(laplace(f,t,s));
\ No newline at end of file diff --git a/149/CH21/EX21.28.1/ques28_1.sce b/149/CH21/EX21.28.1/ques28_1.sce new file mode 100755 index 000000000..17b9d360d --- /dev/null +++ b/149/CH21/EX21.28.1/ques28_1.sce @@ -0,0 +1,6 @@ +//ques28
+syms s t
+f=integ(exp(-s*t)*(t-1),t,1,2)+integ(exp(-s*t)*(3-t),t,2,3);
+disp('Laplace of given function is');
+disp(f);
+
diff --git a/149/CH21/EX21.28.2/ques28_2.sce b/149/CH21/EX21.28.2/ques28_2.sce new file mode 100755 index 000000000..3ef198be6 --- /dev/null +++ b/149/CH21/EX21.28.2/ques28_2.sce @@ -0,0 +1,6 @@ +//ques28
+syms s t
+f=integ(exp(-s*t)*exp(-t),t,0,2);
+disp('Laplace of given function is');
+disp(f);
+
diff --git a/149/CH21/EX21.34/ques34.sce b/149/CH21/EX21.34/ques34.sce new file mode 100755 index 000000000..05733343c --- /dev/null +++ b/149/CH21/EX21.34/ques34.sce @@ -0,0 +1,6 @@ +//error no output
+//ques34
+disp('to find the laplace transform of periodic function ');
+syms w t s
+f=1/(1-exp(-2*%pi*s/w))*integ(exp(-1*s*t)*sin(w*t),t,0,%pi/w);
+disp(f)
diff --git a/149/CH21/EX21.4.1/ques4_1.sce b/149/CH21/EX21.4.1/ques4_1.sce new file mode 100755 index 000000000..0c0930bc3 --- /dev/null +++ b/149/CH21/EX21.4.1/ques4_1.sce @@ -0,0 +1,6 @@ +//ques1(ii)
+clc
+disp('To find the laplace of given function in t ');
+syms t s a
+f=t*sin(a*t);
+disp(laplace(f,t,s));
\ No newline at end of file diff --git a/149/CH21/EX21.4.2/ques4_2.sce b/149/CH21/EX21.4.2/ques4_2.sce new file mode 100755 index 000000000..c293fc925 --- /dev/null +++ b/149/CH21/EX21.4.2/ques4_2.sce @@ -0,0 +1,7 @@ +//ques4(ii)
+clc
+disp('To find the laplace of given function in t ');
+syms t s a
+f=t*cos(a*t);
+l=laplace(f,t,s);
+disp(l);
diff --git a/149/CH21/EX21.5/ques5.sce b/149/CH21/EX21.5/ques5.sce new file mode 100755 index 000000000..423a77488 --- /dev/null +++ b/149/CH21/EX21.5/ques5.sce @@ -0,0 +1,6 @@ +//error
+//ques5
+clc
+syms t s u
+f=integ(exp(-s*t)*t/u,t,0,u)+integ(exp(-s*t),t,u,%inf);
+disp(f);
diff --git a/149/CH21/EX21.7/ques7.sce b/149/CH21/EX21.7/ques7.sce new file mode 100755 index 000000000..b8a9667d7 --- /dev/null +++ b/149/CH21/EX21.7/ques7.sce @@ -0,0 +1,6 @@ +//ques7
+clc
+disp('To find the laplace of given function in t ');
+syms t s a
+f=sin(a*t)/t;
+disp(laplace(f,t,s));
\ No newline at end of file diff --git a/149/CH21/EX21.8.1/ques8_1.sce b/149/CH21/EX21.8.1/ques8_1.sce new file mode 100755 index 000000000..974c427e9 --- /dev/null +++ b/149/CH21/EX21.8.1/ques8_1.sce @@ -0,0 +1,6 @@ +//ques7
+clc
+disp('To find the laplace of given function in t ');
+syms t s a
+f=t*cos(a*t);
+disp(laplace(f,t,s));
\ No newline at end of file diff --git a/149/CH21/EX21.8.2/ques8_2.sce b/149/CH21/EX21.8.2/ques8_2.sce new file mode 100755 index 000000000..f0e36fe2b --- /dev/null +++ b/149/CH21/EX21.8.2/ques8_2.sce @@ -0,0 +1,6 @@ +//ques7
+clc
+disp('To find the laplace of given function in t ');
+syms t s a
+f=t^2*sin(a*t);
+disp(laplace(f,t,s));
\ No newline at end of file diff --git a/149/CH21/EX21.8.3/ques8_3.sce b/149/CH21/EX21.8.3/ques8_3.sce new file mode 100755 index 000000000..65aa6009c --- /dev/null +++ b/149/CH21/EX21.8.3/ques8_3.sce @@ -0,0 +1,7 @@ +//ques7
+clc
+disp('To find the laplace of given function in t ');
+syms t s a
+f=exp(-3*t)*t^3;
+l=laplace(f,t,s)
+disp(l);
\ No newline at end of file diff --git a/149/CH21/EX21.8.4/ques8_4.sce b/149/CH21/EX21.8.4/ques8_4.sce new file mode 100755 index 000000000..2077d8faa --- /dev/null +++ b/149/CH21/EX21.8.4/ques8_4.sce @@ -0,0 +1,7 @@ +//ques7
+clc
+disp('To find the laplace of given function in t ');
+syms t s a
+f=exp(-t)*t*sin(3*t);
+l=laplace(f,t,s)
+disp(l);
\ No newline at end of file diff --git a/149/CH21/EX21.9.1/ques9_1.sce b/149/CH21/EX21.9.1/ques9_1.sce new file mode 100755 index 000000000..ef0cba268 --- /dev/null +++ b/149/CH21/EX21.9.1/ques9_1.sce @@ -0,0 +1,9 @@ +//error
+//ques7
+clc
+disp('To find the laplace of given function in t ');
+syms t s a
+f=(1-exp(t))/t;
+
+l=laplace(f,t,s)
+disp(l);
diff --git a/149/CH21/EX21.9.2/ques9_2.sce b/149/CH21/EX21.9.2/ques9_2.sce new file mode 100755 index 000000000..a325e3b41 --- /dev/null +++ b/149/CH21/EX21.9.2/ques9_2.sce @@ -0,0 +1,8 @@ +//ques9
+clc
+disp('To find the laplace of given function in t ');
+syms t s a b
+f=(cos(a*t)-cos(b*t))/t;
+
+l=laplace(f,t,s)
+disp(l);
|