hexacordoK
2021-09-05
Answered

determine the inverse Laplace transform of the given function.

$F\left(s\right)=\frac{2s}{{s}^{2}+9}$

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FieniChoonin

Answered 2021-09-06
Author has **102** answers

Step 1

Given

Step 2

so

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Find the solution of the following Differential Equations

${y}^{\prime}=(y-x)$

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Solution for a non linear ODE

$u}^{\prime}={u}^{2$

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The Laplace transform L $\left\{{e}^{-{t}^{2}}\right\}$ exists, but without finding it solve the initial-value problem $y{}^{\u2033}+9y=3{e}^{-{t}^{2}},y\left(0\right)=0,{y}^{\prime}\left(0\right)=0$

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Solve the following equation with Laplace Transform Method (Inverse Laplace the equation to find the solution)

$y"-3{y}^{\prime}-4y=3{e}^{2x}$

$y(0)=1,{y}^{\prime}(0)=0$

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Compute the Laplace transform of $f\left(t\right)=\mathrm{cos}(Rt-7)$ take R as 70

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If 𝐿 [cos√𝑡/√𝑡] = √(𝜋𝑠)e^ℎ(𝑠)

then find ℎ(𝑠).

asked 2021-11-16

Solve the given differential equation by variation of parameters.

$y-y=\text{cosh}x$