1 files changed, 78 insertions, 0 deletions
diff --git a/FSF-2020/calculus/series-and-transformations/Laplace Transformations/file2_differentialEqSimplification.py b/FSF-2020/calculus/series-and-transformations/Laplace Transformations/file2_differentialEqSimplification.py
new file mode 100644
index 0000000..33e9173
--- /dev/null
+++ b/FSF-2020/calculus/series-and-transformations/Laplace Transformations/file2_differentialEqSimplification.py
@@ -0,0 +1,78 @@
+from manimlib.imports import *
+import pylatex
+
+class scene(Scene):
+    def construct(self):
+        normalSq=Square(side_length=2,fill_color=BLUE,fill_opacity=0.6)
+        normalSqText=TextMobject("$\mathscr{L}$")
+        inputText=TextMobject("$f($","$y'(t)$","$)$")
+        outputText=TextMobject("$F($","$s$","$)$")
+        
+        inputText.scale(0.7)
+        outputText.scale(0.7)
+        inputText.shift(2.5*LEFT)
+        outputText.shift(1.7*RIGHT)
+        normalSq.scale(1.2)
+
+        inputText.set_color_by_tex_to_color_map({"$y'(t)$":RED})
+        outputText.set_color_by_tex_to_color_map({"$s$":RED})
+
+        self.play(ShowCreation(normalSq))
+        self.play(FadeIn(normalSqText))
+        self.add(inputText)
+        self.wait(0.5)
+        self.play(ApplyMethod(inputText.shift,0.7*RIGHT))
+        self.play(FadeOut(inputText),FadeIn(outputText))
+        self.play(ApplyMethod(outputText.shift,RIGHT))
+        self.wait(1)
+
+        group1=VGroup(outputText,normalSq,normalSqText)
+        self.play(ApplyMethod(group1.scale,0.6))
+        self.play(ApplyMethod(group1.shift,4.7*LEFT))
+        self.wait(0.6)
+
+        inverseSq=Square(side_length=3,fill_color=GREEN,fill_opacity=0.6)
+        inverseSqText=TextMobject("$\mathscr{L}^{ -1 }$")
+        outText=TextMobject("$f($","$y(t)$","$)$")
+        inverseSqText.scale(0.7)
+        outText.scale(0.7)
+        outText.set_color_by_tex_to_color_map({"$y(t)$":RED})
+        self.play(ShowCreation(inverseSq))
+        self.play(FadeIn(inverseSqText))
+        self.wait(0.5)
+        outText.shift(2*RIGHT)
+        self.play(ApplyMethod(outputText.shift,RIGHT))
+        self.play(FadeOut(outputText),FadeIn(outText))
+        self.play(ApplyMethod(outText.shift,2*RIGHT))
+        self.wait(1)
+
+        updatedOutputText=TextMobject("$F($","$s$","$)$")
+        updatedOutputText.shift(2.5*LEFT)
+        updatedInputText=TextMobject("$f($","$y'(t)$","$)$")
+        updatedInputText.shift(6*LEFT)
+        updatedInputText.scale(0.7)
+        updatedOutputText.scale(0.7)
+        updatedOutputText.set_color_by_tex_to_color_map({"$s$":RED})
+        updatedInputText.set_color_by_tex_to_color_map({"$y'(t)$":RED})
+
+        self.play(FadeIn(updatedInputText),FadeIn(updatedOutputText))
+        self.wait(0.5)
+
+        deText=TextMobject("Differential Equation")
+        deinterTexta=TextMobject("Transformed D.E")
+        deinterTextb=TextMobject("(Easy to simplify)!")
+        deOutText=TextMobject("Solution of D.E")
+        deText.set_color(RED)
+        deinterTexta.set_color(RED)
+        deOutText.set_color(RED)
+        deinterTextb.set_color(PURPLE_C)
+        deText.scale(0.35)
+        deinterTexta.scale(0.35)
+        deinterTextb.scale(0.35)
+        deOutText.scale(0.35)
+        deText.shift(6*LEFT+0.5*DOWN)
+        deinterTexta.shift(2.6*LEFT+0.5*DOWN)
+        deinterTextb.shift(2.6*LEFT+0.8*DOWN)
+        deOutText.shift(4*RIGHT+0.5*DOWN)
+        self.play(Write(deText),Write(deinterTexta),Write(deinterTextb),Write(deOutText))
+        self.wait(2)