If you want an analytic solution, closed form solutions for first-order diff eqs are well-known and, for the most part, tractable. Use an integrating factor.
(y(t) = e^{-t\ln t + t}\bigg( C + \int \sin(t) e^{t\ln (t) - t} dt \bigg))
If you want an analytic solution, closed form solutions for first-order diff eqs are well-known and, for the most part, tractable. Use an integrating factor.
(y(t) = e^{-t\ln t + t}\bigg( C + \int \sin(t) e^{t\ln (t) - t} dt \bigg))
I think the OP was looking for an closed form solution to the sin(t)e^(stuff) integral. I don't think you're going to find a closed form solution to this.
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