Mathematics, 12.08.2020 14:01 briannasj6164
(a) Use appropriate algebra and Theorem to find the given inverse Laplace transform. (Write your answer as a function of t.)
L−1 {3s − 10/ s2 + 25}
(b) Use the Laplace transform to solve the given initial-value problem.
y' + 3y = e6t, y(0) = 2
Answers: 2
![L[\cos(at)]=\dfrac s{s^2+a^2}](/tpl/images/0720/6585/d1e55.png)
![L[\sin(at)]=\dfrac a{s^2+a^2}](/tpl/images/0720/6585/5853f.png)
![L^{-1}\left[\dfrac{3s-10}{s^2+25}\right]=3\cos(5t)-2\sin(5t)](/tpl/images/0720/6585/7af9c.png)
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(a) Use appropriate algebra and Theorem to find the given inverse Laplace transform. (Write your ans...
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