Question: Find the general solution, y(t), which solves the problem below, by the method of integrating factors. dy 6t + dt Find the integrating factor,

![Solve the initial value problem[frac{d y}{d t}-y=5 e^{t}+2 e^{3 t}]with ( y(0)=5 ).[y=]](https://dsd5zvtm8ll6.cloudfront.net/si.experts.images/questions/2022/12/63888fa93624e_1669894356983.png)
Find the general solution, y(t), which solves the problem below, by the method of integrating factors. dy 6t + dt Find the integrating factor, u(t) = t ^2//6 and then find y(t) = the unkown constant.) = t y = t/6 . (use C as Solve the initial value problem with y(0) = 5. Y = dy dt - y = 5e +2et
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