Find the solution of the following Differential Equation

$x{y}^{\prime}=2x+2y$

Concepcion Hale
2022-01-16
Answered

Find the solution of the following Differential Equation

$x{y}^{\prime}=2x+2y$

You can still ask an expert for help

levurdondishav4

Answered 2022-01-17
Author has **38** answers

Rewrite

put the equation in the form of

Foreckije

Answered 2022-01-18
Author has **32** answers

The integration factor:

alenahelenash

Answered 2022-01-24
Author has **343** answers

\(xy=2x+2y)

asked 2022-04-06

I want to find the laplace inverse of

$s}^{-\frac{3}{2}$

the steps given in the solution manual are as follows:

$\frac{2}{\sqrt{\pi}}\frac{\sqrt{\pi}}{2{s}^{\frac{3}{2}}}=2\sqrt{\frac{t}{\pi}}$

I know the first part$\frac{2}{\sqrt{\pi}}$ is obtained using the gamma function $\mathrm{\Gamma}\left(\frac{3}{2}\right)$ , but not quite sure how the rest is obtained.

the steps given in the solution manual are as follows:

I know the first part

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d)$\mathrm{cos}h\left(ct\right)$

a)

b)

c)

d)

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determine the inverse Laplace transform of F.

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