# FInd solutions of the following ODE: y"+4y'+8y=2x , y(0) = 1 , y'(0) = -1

## Question:

FInd solutions of the following ODE:

y"+4y'+8y=2x , y(0) = 1 , y'(0) = -1

## Initial Value Problem Example

The problem exhibits how Laplace Transform can solve initial value problem involving ODE which is working because the laplace transform of the derivatives involves values of the derivatives at {eq}\displaystyle x = 0 {/eq}

## Answer and Explanation: 1

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View this answerFirst, we compute the Laplace Transform of both sides of ODE (You need to use the Laplace Transform table)

{eq}\displaystyle \mathcal{L}(y''+4y'+8y)...

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Chapter 8 / Lesson 3Learn how to use the convolution theorem. Discover the convolution integral and transforming methods, and study applications of the convolution theorem.