(4) Find Laplace Transform F(s) for the variable x or y in the equations a-y"+2y'-3y=32e"; y'(0) = 12, y(0)=0

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Chapter1: Functions And Models
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W (4) Find Laplace Transform F(s) for the variable x or y in the equations
a- y"+2y-3y = 32e"; y'(0)=12, y(0) = 0
Wy
b-
+2y=0;
y=1 at t=0, y(0) = 1
dt
dy
C-
+2y=cost;
y(0) = 1
dt
d- y" + 3y' +2y=1;
y'(0)=0, y(0) = 0
e- y"-3y' + 2y = 12e"; where y'(0) =
dx
f-
- 4x=2e²" + e*; where x(0)=0
dt
dx
-2x=4; where x(0)=1
dt
h- x' + 2x=10e¹;
where x(0) = 6
d'y
i-
-9y=sint;
y'(0)=0, y(0)=0
dt²
j- y" +5y' +6y=1; Assuming zero I.C.
Zevid
aheem
Transcribed Image Text:W (4) Find Laplace Transform F(s) for the variable x or y in the equations a- y"+2y-3y = 32e"; y'(0)=12, y(0) = 0 Wy b- +2y=0; y=1 at t=0, y(0) = 1 dt dy C- +2y=cost; y(0) = 1 dt d- y" + 3y' +2y=1; y'(0)=0, y(0) = 0 e- y"-3y' + 2y = 12e"; where y'(0) = dx f- - 4x=2e²" + e*; where x(0)=0 dt dx -2x=4; where x(0)=1 dt h- x' + 2x=10e¹; where x(0) = 6 d'y i- -9y=sint; y'(0)=0, y(0)=0 dt² j- y" +5y' +6y=1; Assuming zero I.C. Zevid aheem
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