Solve the initial value problem using Laplace transforms.

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Lennie Carroll
2021-09-06
Answered

Solve the initial value problem using Laplace transforms.

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Arnold Odonnell

Answered 2021-09-07
Author has **109** answers

Given differential equation

Here

To find: Solve the initial value problem using Laplace Transform

We begin with taking Laplace transformation on both sides,

Note:

Substitute in the equation,

We begin with finding the Laplace for RHS,

Now, use the conditions given,

Now , find inverse Laplace transform

Note:

asked 2021-02-19

Solve the differential equation using Laplace transform of

${y}^{\u2033}-3{y}^{\prime}+2y={e}^{3t}$

when y(0)=0 and y'(0)=0

when y(0)=0 and y'(0)=0

asked 2021-09-08

Find:

asked 2021-12-31

Find the solution of the following Differential Equations

$\mathrm{sin}\left(\beta y\right)dx=-\beta \mathrm{cos}\left(\beta y\right)dy$

asked 2021-02-15

By using Laplace transforms, solve the following differential equations subject to the given
initial conditions.

\(y"-4y=-4te^{2t},

\(y"-4y=-4te^{2t},

asked 2021-12-16

asked 2021-09-12

Find the inverse Laplace Transform for the following expressions

$\frac{5s}{{(s-2)}^{2}}$

asked 2020-11-29

Find the Laplace transform of $f\left(t\right)=t{e}^{-t}\mathrm{sin}\left(2t\right)$

Then you obtain$F\left(s\right)=\frac{4s+a}{{({(s+1)}^{2}+4)}^{2}}$

Please type in a = ?

Then you obtain

Please type in a = ?