foass77W
2021-09-07
Answered

Take the Inverse Laplace Transform of the function.

$F\left(s\right)=\frac{1}{s({s}^{2}+2s+2)}$

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Khribechy

Answered 2021-09-08
Author has **100** answers

asked 2020-11-23

Solve the given symbolic initial value problem and sketch a graph of the solution.

$y\prime \prime +y=3\delta (t-(\frac{\pi}{2})y(0)=0{y}^{\prime}(0)=3$

asked 2021-12-30

Consider a bacterial population that grows according to the function $f\left(t\right)=500{e}^{0.05t}$ measured in minutes. After 4 hours, how many germs are present in the population? When will the population of bacteria reach 100 million?

asked 2022-04-28

I am stuck with this equation. If you can help me

$y{}^{\u2033}\left(t\right)+12{y}^{\prime}\left(t\right)+32y\left(t\right)=32u\left(t\right)$ with $y\left(0\right)={y}^{\prime}\left(0\right)=0$

I found the laplace transform for y(t)

$Y\left(p\right)=x=\frac{32}{\left(p({p}^{2}+12p+32)\right)}$

so i need the laplace transform of y(t) and then the solution for y(t).

I found the laplace transform for y(t)

so i need the laplace transform of y(t) and then the solution for y(t).

asked 2022-04-07

I'm having difficulties calculating a simple Laplace inverse :

$\frac{S-4}{{S}^{2}-2S-11}$

asked 2021-02-21

Solve the initial value problem below using the method of Laplace transforms.

$y"-16y=32t-8{e}^{-4t}$

$y(0)=0$

${y}^{\prime}(0)=15$

asked 2021-05-21

Find an equation of the tangent line to the curve at the given point (9, 3)

$y=\frac{1}{\sqrt{x}}$

asked 2021-06-09

Which is a narrow, debatable claim?