Check my Laplace transform solutions

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noreturn2
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Homework Statement


Two Laplace transform problems typed as plain text: Solve 5y'' + y' - 2y = 0 with y(0) = y'(0) = 3, expressing the solution in Laplace space, Y(s). Solve y' + 4y = e^(iwt) with y(0) = 7, expressing the solution in Laplace space, Y(s).


Homework Equations

The Attempt at a Solution


1. I got Y(s) = (15s +18)/(5s^2+s-2)

2. I got Y(s) = (7s - 7iw + 1)/((s+4)(5 - iw))

Was just wanting to make sure I solved these right. I would type it out but without formating, it will look messy.
 
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  • Two Laplace transform problems typed as plain text: Solve 5y'' + y' - 2y = 0 with y(0) = y'(0) = 3, expressing the solution in Laplace space, Y(s). Solve y' + 4y = e^(iwt) with y(0) = 7, expressing the solution in Laplace space, Y(s).
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noreturn2 said:

Homework Statement


View attachment 224321

Homework Equations

The Attempt at a Solution


1. I got Y(s) = (15s +18)/(5s^2+s-2)

2. I got Y(s) = (7s - 7iw + 1)/((s+4)(5 - iw))

Was just wanting to make sure I solved these right. I would type it out but without formating, it will look messy.
I got the same as what you have for #1. Can you show your work for #2?