diff options
Diffstat (limited to '3838/CH3')
40 files changed, 254 insertions, 0 deletions
diff --git a/3838/CH3/EX3.1.A/EX3_1_a.sce b/3838/CH3/EX3.1.A/EX3_1_a.sce new file mode 100644 index 000000000..fd1c6d887 --- /dev/null +++ b/3838/CH3/EX3.1.A/EX3_1_a.sce @@ -0,0 +1,6 @@ +//Example 3.1.A
+clc;
+Syms s t;
+A=3
+laplace(A,t,s)
+
diff --git a/3838/CH3/EX3.1.B/EX3_1_b.sce b/3838/CH3/EX3.1.B/EX3_1_b.sce new file mode 100644 index 000000000..30bb579eb --- /dev/null +++ b/3838/CH3/EX3.1.B/EX3_1_b.sce @@ -0,0 +1,4 @@ +//EXAMPLE 3.1.B +clc; +Syms s t +laplace(t,t,s) diff --git a/3838/CH3/EX3.1.C/EX3_1_c.sce b/3838/CH3/EX3.1.C/EX3_1_c.sce new file mode 100644 index 000000000..b1237874f --- /dev/null +++ b/3838/CH3/EX3.1.C/EX3_1_c.sce @@ -0,0 +1,4 @@ +//EXAMPLE 3.1.C +clc; +Syms s t +laplace(exp(-3*t),t,s) diff --git a/3838/CH3/EX3.1.D/EX3_1_d.sce b/3838/CH3/EX3.1.D/EX3_1_d.sce new file mode 100644 index 000000000..abfd394ca --- /dev/null +++ b/3838/CH3/EX3.1.D/EX3_1_d.sce @@ -0,0 +1,4 @@ +//EXAMPLE 3.1.D +clc; +Syms s t +laplace(-exp(-3*t),t,s) diff --git a/3838/CH3/EX3.1.E/EX3_1_e.sce b/3838/CH3/EX3.1.E/EX3_1_e.sce new file mode 100644 index 000000000..90d6010af --- /dev/null +++ b/3838/CH3/EX3.1.E/EX3_1_e.sce @@ -0,0 +1,4 @@ +//EXAMPLE 3.1.E +clc; +Syms s t e +e=laplace(exp(-4*t),t,s)-laplace(exp(4*t),t,s) diff --git a/3838/CH3/EX3.12/EX3_12.sce b/3838/CH3/EX3.12/EX3_12.sce new file mode 100644 index 000000000..e98e23000 --- /dev/null +++ b/3838/CH3/EX3.12/EX3_12.sce @@ -0,0 +1,6 @@ +//Example 3.12 +clc; +syms s; +I=2/((s)*(s+1)*(s+2)); +i=ilaplace(I); +disp(i); diff --git a/3838/CH3/EX3.13/EX3_13.sce b/3838/CH3/EX3.13/EX3_13.sce new file mode 100644 index 000000000..a310014b5 --- /dev/null +++ b/3838/CH3/EX3.13/EX3_13.sce @@ -0,0 +1,6 @@ +//Example 3.13 +clc; +syms s; +I=2/((s)*(s+1)*(s+2)^(2)); +i=ilaplace(I); +disp(i); diff --git a/3838/CH3/EX3.14/EX3_14.sce b/3838/CH3/EX3.14/EX3_14.sce new file mode 100644 index 000000000..1d071d656 --- /dev/null +++ b/3838/CH3/EX3.14/EX3_14.sce @@ -0,0 +1,6 @@ +//Example 3.14 +clc; +syms s; +I=1/((s+2)*(((s)^(2))+s+1)); +i=ilaplace(I); +disp(i); diff --git a/3838/CH3/EX3.15/EX3_15.sce b/3838/CH3/EX3.15/EX3_15.sce new file mode 100644 index 000000000..740adf8e9 --- /dev/null +++ b/3838/CH3/EX3.15/EX3_15.sce @@ -0,0 +1,6 @@ +//Example 3.15 +clc; +syms s; +I=4/((s^(2))*(s^(2)+16)); +i=ilaplace(I); +disp(i); diff --git a/3838/CH3/EX3.16.a/EX3_16_A.sce b/3838/CH3/EX3.16.a/EX3_16_A.sce new file mode 100644 index 000000000..3e360c6f3 --- /dev/null +++ b/3838/CH3/EX3.16.a/EX3_16_A.sce @@ -0,0 +1,6 @@ +//Example 3.16.A +clc; +syms s; +I=(3*s^(2)+8*s+23)/((s+3)*(s^(2)+2*s+10)); +i=ilaplace(I); +disp(i); diff --git a/3838/CH3/EX3.16.b/EX3_16_B.sce b/3838/CH3/EX3.16.b/EX3_16_B.sce new file mode 100644 index 000000000..1092d7803 --- /dev/null +++ b/3838/CH3/EX3.16.b/EX3_16_B.sce @@ -0,0 +1,6 @@ +//Example 3.16.B +clc; +syms s; +I=(8*(s^(2)))/((s+2)*(s+1)^(3)); +i=ilaplace(I); +disp(i); diff --git a/3838/CH3/EX3.2.A/EX3_2_A.sce b/3838/CH3/EX3.2.A/EX3_2_A.sce new file mode 100644 index 000000000..e5637157d --- /dev/null +++ b/3838/CH3/EX3.2.A/EX3_2_A.sce @@ -0,0 +1,5 @@ +//EXAMPLE 3.2.A +clc; +Syms s t +w=2; +laplace(sin(w*t),t,s) diff --git a/3838/CH3/EX3.2.b/EX3_2_B.sce b/3838/CH3/EX3.2.b/EX3_2_B.sce new file mode 100644 index 000000000..9a1bb0ccb --- /dev/null +++ b/3838/CH3/EX3.2.b/EX3_2_B.sce @@ -0,0 +1,5 @@ +//EXAMPLE 3.2.B +clc; +Syms s t +w=2; +laplace(cos(w*t),t,s) diff --git a/3838/CH3/EX3.2.c/EX3_2_C.sce b/3838/CH3/EX3.2.c/EX3_2_C.sce new file mode 100644 index 000000000..34a02be95 --- /dev/null +++ b/3838/CH3/EX3.2.c/EX3_2_C.sce @@ -0,0 +1,5 @@ +//EXAMPLE 3.2.C +clc; +Syms s t +w=2; +laplace(cosh(w*t),t,s) diff --git a/3838/CH3/EX3.2.d/EX3_2_D.sce b/3838/CH3/EX3.2.d/EX3_2_D.sce new file mode 100644 index 000000000..fb0a99fba --- /dev/null +++ b/3838/CH3/EX3.2.d/EX3_2_D.sce @@ -0,0 +1,7 @@ +//EXAMPLE 3.2.D +clc; +Syms s t +w=2; +a=5; +F=exp(-a*t)*sin(w*t) +laplace(F,t,s) diff --git a/3838/CH3/EX3.2.e/EX3_2_E.sce b/3838/CH3/EX3.2.e/EX3_2_E.sce new file mode 100644 index 000000000..d42d041ed --- /dev/null +++ b/3838/CH3/EX3.2.e/EX3_2_E.sce @@ -0,0 +1,7 @@ +//EXAMPLE 3.2.E +clc; +Syms s t +w=2; +a=5; +F=exp(-a*t)*cos(w*t) +laplace(F,t,s) diff --git a/3838/CH3/EX3.22/EX3_22.sce b/3838/CH3/EX3.22/EX3_22.sce new file mode 100644 index 000000000..df1d08bff --- /dev/null +++ b/3838/CH3/EX3.22/EX3_22.sce @@ -0,0 +1,8 @@ +//Example 3.22 +clc; +syms s t; +x=laplace(exp(-2*t)*cos(3*t),t,s); +y=laplace(4*sin(3*t),t,s); +z=x*y +i=ilaplace(z); +disp(i); diff --git a/3838/CH3/EX3.24.a/EX3_24_A.sce b/3838/CH3/EX3.24.a/EX3_24_A.sce new file mode 100644 index 000000000..26a01bc1d --- /dev/null +++ b/3838/CH3/EX3.24.a/EX3_24_A.sce @@ -0,0 +1,5 @@ +//Example 3.24.a +clc; +Syms s t; +x=laplace(((2+t)*(exp(-3*t)),t,s); +disp(x); diff --git a/3838/CH3/EX3.24.b/EX3_24_B.sce b/3838/CH3/EX3.24.b/EX3_24_B.sce new file mode 100644 index 000000000..841c34f87 --- /dev/null +++ b/3838/CH3/EX3.24.b/EX3_24_B.sce @@ -0,0 +1,5 @@ +//Example 3.24.B +clc; +Syms s t; +x=laplace((t^(2)-exp(-4*t)+exp(-7*t)),t,s); +disp(x); diff --git a/3838/CH3/EX3.24.c/EX3_24_C.sce b/3838/CH3/EX3.24.c/EX3_24_C.sce new file mode 100644 index 000000000..bec5984b7 --- /dev/null +++ b/3838/CH3/EX3.24.c/EX3_24_C.sce @@ -0,0 +1,5 @@ +//Example 3.24.C +clc; +Syms s t; +x=laplace((1+0.5*exp(-6*t)+0.2*exp(-3*t)),t,s); +disp(x); diff --git a/3838/CH3/EX3.25.a/EX3_25_A.sce b/3838/CH3/EX3.25.a/EX3_25_A.sce new file mode 100644 index 000000000..3d7c74d18 --- /dev/null +++ b/3838/CH3/EX3.25.a/EX3_25_A.sce @@ -0,0 +1,6 @@ +//EXAMPLE 3.25.A +clc; +Syms s,t; +u=laplace(1,t,s)+laplace(exp(-2*t),t,s);0 +F=u*laplace(1,t,s) +disp(F); diff --git a/3838/CH3/EX3.25.b/EX3_25_B.sce b/3838/CH3/EX3.25.b/EX3_25_B.sce new file mode 100644 index 000000000..e15a27ee9 --- /dev/null +++ b/3838/CH3/EX3.25.b/EX3_25_B.sce @@ -0,0 +1,6 @@ +//EXAMPLE 3.25.b +clc; +Syms s,t; +u=laplace((t)^(2),t,s)+laplace(t*exp(-4*t),t,s); +F=u*laplace(1,t,s) +disp(F); diff --git a/3838/CH3/EX3.25.c/EX3_25_C.sce b/3838/CH3/EX3.25.c/EX3_25_C.sce new file mode 100644 index 000000000..757a00ef8 --- /dev/null +++ b/3838/CH3/EX3.25.c/EX3_25_C.sce @@ -0,0 +1,6 @@ +//EXAMPLE 3.25.c +clc; +Syms s,t; +u=laplace(t,t,s)+laplace(sin(t),t,s); +F=u*laplace(1,t,s) +disp(F); diff --git a/3838/CH3/EX3.26.a/EX3_26_A.sce b/3838/CH3/EX3.26.a/EX3_26_A.sce new file mode 100644 index 000000000..dec17118f --- /dev/null +++ b/3838/CH3/EX3.26.a/EX3_26_A.sce @@ -0,0 +1,6 @@ +//Example 3.26.A +clc; +syms s; +F=1/(s^(2)*(s-2)); +f=ilaplace(F); +disp(f); diff --git a/3838/CH3/EX3.26.b/EX3_26_B.sce b/3838/CH3/EX3.26.b/EX3_26_B.sce new file mode 100644 index 000000000..8bb058fb7 --- /dev/null +++ b/3838/CH3/EX3.26.b/EX3_26_B.sce @@ -0,0 +1,6 @@ +//Example 3.26.B +clc; +syms s; +F=1/(s*(s+1)*(s-2)); +f=ilaplace(F); +disp(f); diff --git a/3838/CH3/EX3.26.c/EX3_26_C.sce b/3838/CH3/EX3.26.c/EX3_26_C.sce new file mode 100644 index 000000000..b1431f1ae --- /dev/null +++ b/3838/CH3/EX3.26.c/EX3_26_C.sce @@ -0,0 +1,6 @@ +//Example 3.26.c +clc; +syms s; +F=1/(s^(2)+s+1); +f=ilaplace(F); +disp(f); diff --git a/3838/CH3/EX3.27.a/EX3_27_A.sce b/3838/CH3/EX3.27.a/EX3_27_A.sce new file mode 100644 index 000000000..fd8bf3a64 --- /dev/null +++ b/3838/CH3/EX3.27.a/EX3_27_A.sce @@ -0,0 +1,9 @@ +//Example 3.27.A +clc; +a=2; +syms s t; +y=laplace(exp(-a*t)); +z=1*y; +f=ilaplace(z); +disp(f); ++9 diff --git a/3838/CH3/EX3.27.b/EX3_27_B.sce b/3838/CH3/EX3.27.b/EX3_27_B.sce new file mode 100644 index 000000000..067e2d272 --- /dev/null +++ b/3838/CH3/EX3.27.b/EX3_27_B.sce @@ -0,0 +1,8 @@ +//Example 3.27.B +clc; +syms s t; +x=laplace(exp(-2*t)); +y=laplace(1); +z=x*y; +f=ilaplace(z); +disp(f); diff --git a/3838/CH3/EX3.28.B/EX3_28_B.sce b/3838/CH3/EX3.28.B/EX3_28_B.sce new file mode 100644 index 000000000..4e21ae86b --- /dev/null +++ b/3838/CH3/EX3.28.B/EX3_28_B.sce @@ -0,0 +1,8 @@ +//Example 3.28.B +clc; +syms s t; +x=laplace(exp(-2*t)); +y=laplace(exp(-5*t)); +z=x*y; +f=ilaplace(z); +disp(f); diff --git a/3838/CH3/EX3.28.C/EX3_28_C.sce b/3838/CH3/EX3.28.C/EX3_28_C.sce new file mode 100644 index 000000000..3ba0be3ce --- /dev/null +++ b/3838/CH3/EX3.28.C/EX3_28_C.sce @@ -0,0 +1,8 @@ +//Example 3.28.c +clc; +syms s t; +x=laplace(t); +y=laplace(exp(-5*t)); +z=x*y; +f=ilaplace(z); +disp(f); diff --git a/3838/CH3/EX3.28.D/EX3_28_D.sce b/3838/CH3/EX3.28.D/EX3_28_D.sce new file mode 100644 index 000000000..94f5967bc --- /dev/null +++ b/3838/CH3/EX3.28.D/EX3_28_D.sce @@ -0,0 +1,8 @@ +//Example 3.28.D +clc; +syms s t; +x=laplace(cos(t)); +y=laplace(t); +z=x*y; +f=ilaplace(z); +disp(f); diff --git a/3838/CH3/EX3.28.a/EX3_28_A.sce b/3838/CH3/EX3.28.a/EX3_28_A.sce new file mode 100644 index 000000000..2c16c96f9 --- /dev/null +++ b/3838/CH3/EX3.28.a/EX3_28_A.sce @@ -0,0 +1,8 @@ +//Example 3.28.A +clc; +syms s t; +x=laplace(2); +y=laplace(1); +z=x*y; +f=ilaplace(z); +disp(f); diff --git a/3838/CH3/EX3.29.A/EX3_29_a.sce b/3838/CH3/EX3.29.A/EX3_29_a.sce new file mode 100644 index 000000000..0e28729a6 --- /dev/null +++ b/3838/CH3/EX3.29.A/EX3_29_a.sce @@ -0,0 +1,8 @@ +//Example 3.29.A +clc; +syms s t; +x=laplace(2); +y=laplace(1); +z=x/y; +f=ilaplace(z); +disp(f); diff --git a/3838/CH3/EX3.29.B/EX3_29_b.sce b/3838/CH3/EX3.29.B/EX3_29_b.sce new file mode 100644 index 000000000..8fd7f9ed4 --- /dev/null +++ b/3838/CH3/EX3.29.B/EX3_29_b.sce @@ -0,0 +1,8 @@ +//Example 3.29.b +clc; +syms s t; +x=laplace((1/3)*(exp(-2*t)-exp(-5*t)); +y=laplace(exp(-5*t)); +z=x/y; +f=ilaplace(z); +disp(f); diff --git a/3838/CH3/EX3.29.C/EX3_29_C.sce b/3838/CH3/EX3.29.C/EX3_29_C.sce new file mode 100644 index 000000000..f6509b7a8 --- /dev/null +++ b/3838/CH3/EX3.29.C/EX3_29_C.sce @@ -0,0 +1,8 @@ +//Example 3.29.C +clc; +syms s t; +x=laplace((1/25)*(exp(-5*t)+5*t-1)); +y=laplace(exp(-5*t)); +z=x/y; +f=ilaplace(z); +disp(f); diff --git a/3838/CH3/EX3.29.D/EX3_29_D.sce b/3838/CH3/EX3.29.D/EX3_29_D.sce new file mode 100644 index 000000000..e2c1a99eb --- /dev/null +++ b/3838/CH3/EX3.29.D/EX3_29_D.sce @@ -0,0 +1,8 @@ +//Example 3.29.d +clc; +syms s t; +x=laplace(1-cos(t)); +y=laplace(t); +z=x/y; +f=ilaplace(z); +disp(f); diff --git a/3838/CH3/EX3.30.A/EX3_30_A.sce b/3838/CH3/EX3.30.A/EX3_30_A.sce new file mode 100644 index 000000000..35351849b --- /dev/null +++ b/3838/CH3/EX3.30.A/EX3_30_A.sce @@ -0,0 +1,8 @@ +//Example 3.30.A +clc; +syms s t; +x=laplace(3*t); +y=laplace(1); +z=x*y; +f=ilaplace(z); +disp(f); diff --git a/3838/CH3/EX3.30.B/EX3_30_B.sce b/3838/CH3/EX3.30.B/EX3_30_B.sce new file mode 100644 index 000000000..57c373252 --- /dev/null +++ b/3838/CH3/EX3.30.B/EX3_30_B.sce @@ -0,0 +1,8 @@ +//Example 3.30.B +clc; +syms s t; +x=laplace(exp(-5*t)); +y=laplace(1); +z=x*y; +f=ilaplace(z); +disp(f); diff --git a/3838/CH3/EX3.7.a/EX3_7_A.sce b/3838/CH3/EX3.7.a/EX3_7_A.sce new file mode 100644 index 000000000..5db94c23d --- /dev/null +++ b/3838/CH3/EX3.7.a/EX3_7_A.sce @@ -0,0 +1,5 @@ +//example 3.7.a +clc; +Syms s t +F=(t^(2)-2*t)*unit_step(t-1) +laplace(F,t,s) diff --git a/3838/CH3/EX3.7.b/EX3_7_B.sce b/3838/CH3/EX3.7.b/EX3_7_B.sce new file mode 100644 index 000000000..13a1e2a7d --- /dev/null +++ b/3838/CH3/EX3.7.b/EX3_7_B.sce @@ -0,0 +1,6 @@ +//example 3.7.b +clc; +Syms s t +a=5; +F=(t-a)*unit_step(t-a) +laplace(F,t,s) |