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Solve the DE using the following:

L and R are constants

[tex]L\frac{di}{dt} + Ri = E(t)[/tex]

[tex]i(0) = i_0[/tex]

[tex]E(t) = E_0*sin(wt)[/tex]

Here is my work so far:

I got the integrating factor to become [tex]e^{Rt/L}[/tex]. But now:

[tex]\frac{d(e^{\frac{Rt}{L}}*i)}{dt} = e^{\frac{Rt}{L}}\frac{E_0}{L}*sin(wt)[/tex]

But I am stuck from there. Help would be appreciated.