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 3 Having problem in Laplace 2 Laplace-like operator 2 Inverse Laplace Transform : $F(s)=\frac{2 \omega^3}{(s^2+\omega^2)^2}$ 2 Matrix of matrices in matlab 1 Computation of a residue

### Reputation (386)

 +5 Inverse Laplace Transform : $F(s)=\frac{2 \omega^3}{(s^2+\omega^2)^2}$ +10 Evalulate $\int_{-\infty}^{\infty}\frac{1}{(1+x^{2n})^2}dx$ by using residue theorem +10 Calculating this residue (residue theorem) +5 The Laurent series of $g(z)=\frac{z^n+z^{-n}}{z^2-(a+\frac{1}{a})z+1}$

### Questions (7)

 8 How to find the Laplace transform of $\frac{1-\cos(t)}{t^2}$? 2 The Laurent series of $g(z)=\frac{z^n+z^{-n}}{z^2-(a+\frac{1}{a})z+1}$ 2 recognize the sequence numbers? 2 First order differential equation : $\frac{dy}{dt}+kty(t) = \frac{\sin(\pi t/10)}{\pi}$ 1 How to Find Inverse Laplace Transform of $F(s)=\frac{1}{\pi} \cot^{-1}(\frac{10s}{\pi})$

### Tags (23)

 8 laplace-transform × 18 2 residue-calculus × 3 5 calculus × 13 2 differential-operators 5 matlab × 4 1 improper-integrals × 5 4 complex-analysis × 8 1 definite-integrals 3 integration × 6 0 differential-equations × 4

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