Laplace Iransform 3.4.8. y" - 4y' - 5y = 2 + e-t, y(0) = y'(0) = 0.

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Chapter2: Second-order Linear Odes
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Laplace Transform
3.4.8. y" - 4y - 5y = 2+e-t, y(0) = y'(0) = 0.
For 3.4.9-10, solve the systems of differential equations by Laplace transform.
[x² + y = 0,
y' - 2x - 2y = 0,
✔ 3.4.9.
x(0) = y(0) = 2.
x'=y-z,
3.4.10. y'=x+y, x(0) = 2, y(0) = 3, z (0) = 4.
z' = x + 2,
Transcribed Image Text:Laplace Transform 3.4.8. y" - 4y - 5y = 2+e-t, y(0) = y'(0) = 0. For 3.4.9-10, solve the systems of differential equations by Laplace transform. [x² + y = 0, y' - 2x - 2y = 0, ✔ 3.4.9. x(0) = y(0) = 2. x'=y-z, 3.4.10. y'=x+y, x(0) = 2, y(0) = 3, z (0) = 4. z' = x + 2,
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