y' = 8x x(0) = 1 %3D x' = 2y y(0) = 0 %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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solve for x and y of the given ODE using laplace transform.
please provide complete/detailed solution.

y' = 8x
x(0) = 1
%3D
x' = 2y
y(0) = 0
Transcribed Image Text:y' = 8x x(0) = 1 %3D x' = 2y y(0) = 0
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Follow-up Question

Can you provide complete solution and explanation for the cross multiplication?

we get
8 X(9) - SYLS)+ 0 =0
SX(S)-2Y[S)-1 =0
By cross Multiplecation, we get
Y(S)
O+8
-16+s?
» X(S)
Y(S)
Transcribed Image Text:we get 8 X(9) - SYLS)+ 0 =0 SX(S)-2Y[S)-1 =0 By cross Multiplecation, we get Y(S) O+8 -16+s? » X(S) Y(S)
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