Solving initial value problem using Laplace transform

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  • Start date Start date
member 731016
Homework Statement
Please see below
Relevant Equations
Please see below
For this problem,
1717971751310.png

1717971761542.png

I'm confused how,
1717971790764.png

However, not sure how to go from here.
$$
f(t) = \begin{cases}
1 & \text{if } 0 \leq t < 10\\
0 & \text{if } t \geq 10

\end{cases}
$$
By definition Heavside function is,
$$
H(t - 10) = \begin{cases}
1 & \text{if } t < 10\\
0 & \text{if } t \geq 10


\end{cases}




1 - H(t - 10) = 1 - \begin{cases}
1 & \text{if } t < 10\\
0 & \text{if } t \geq 10


\end{cases}
$$
However, I don't know where to go from here. Does anybody please know?

Thanks for any help!
 
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