2022-04-03

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asked 2021-09-03

Solve the following differential equations using the Laplace transform

asked 2021-05-05

Find f(t).

${L}^{-1}\left\{\frac{{e}^{-\pi s}}{{s}^{2}+1}\right\}$

asked 2022-01-18

Is there a closed form for any function f(x,y) satisfying:

$\frac{df}{dx}+\frac{df}{dy}=xy$

asked 2022-01-16

Solve the Homogenous Differential Equations.

$(x-y\mathrm{ln}y+y\mathrm{ln}x)dx+x(\mathrm{ln}y-\mathrm{ln}x)dy=0$

asked 2021-12-17

Solve the following linear differential equation ${y}^{6}-64y=0$

asked 2022-01-17

Solve $y{}^{\u2033}+{s}^{2}y=b\mathrm{cos}sx$ where s and b are constants. I have tried undetermined coefficients, but it makes such a mess that I keep getting lost, I also tried variation of parameters. Really my issue is staying organized enough to get the solution, my solutions are always just a little off from the book.

I have solved the complementary homogenous equation, this gave me a solution with$\mathrm{cos}sx$ in it... So that's off limits in the particular solution. I looked for a solution in xsinsx and $x\mathrm{cos}sx$ , but as I said, it was a mess.

I have solved the complementary homogenous equation, this gave me a solution with

asked 2021-09-08

Use the transforms in the table below to find the inverse Laplace transform of the following function.

$F\left(s\right)=\frac{5}{{s}^{4}}$