9. Use Laplace to solve the system: dx dt dx dt x(0) = 0, y(0) = 0, y'(0) = 0, y"(0) = 0 -4x+ d³y = 6 sin(t) dt³ +2x-2 d³y I dt³ = cos(t)

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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9. Use Laplace to solve the system:
dx d'y
-4x+
dt
dt³
dx
dt
I dt³
x(0) = 0, y(0) = 0,
y'(0) = 0, y"(0) = 0
-
+2x-2₁
= 6 sin(t)
d³y
= cos(t)
Transcribed Image Text:9. Use Laplace to solve the system: dx d'y -4x+ dt dt³ dx dt I dt³ x(0) = 0, y(0) = 0, y'(0) = 0, y"(0) = 0 - +2x-2₁ = 6 sin(t) d³y = cos(t)
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