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(Solved): Q2 with subparts Find the solution of the given initial value problem. \[ y^{\prime}-\frac{5}{t} y=\ ...
Q2 with subparts
![Find the solution of the given initial value problem.
\[
y^{\prime}-y=4 t e^{2 t}, y(0)=1
\]
\[
y(t)=
\]](https://media.cheggcdn.com/study/bad/bad4112c-be04-48c2-a2c7-c1b972806abc/image)
![Find the solution of the given initial value problem.
\[
t y^{\prime}+(t+1) y=t, y(\ln 3)=1, t>0
\]](https://media.cheggcdn.com/study/478/4781b3af-ce4f-4d0b-8f71-4727e1345c83/image)
Find the solution of the given initial value problem. \[ y^{\prime}-\frac{5}{t} y=\frac{\cos t}{t^{-5}}, \quad y(\pi)=0, \quad t>0 \] \[ y(t)= \]
Find the solution of the given initial value problem. \[ y^{\prime}-y=4 t e^{2 t}, y(0)=1 \] \[ y(t)= \]
Find the solution of the given initial value problem. \[ t y^{\prime}+(t+1) y=t, y(\ln 3)=1, t>0 \]