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(Solved): Solve the initial value problem dtdx+5x=cos(4t) with x(0)=1. x(t)= ...



Solve the initial value problem
\[
\frac{d x}{d t}+5 x=\cos (4 t)
\]
with \( x(0)=1 \).
\[
x(t)=
\]???????

Solve the initial value problem with .


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Here the given differential equation is: dxdt+5x=cos?(4t) Hence: I.F.=e?P(y)dy=e?5dt=e5t Which means the solution is given by: x(I.F.)=?
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