(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Solve the inital value problem for y(x); xy′ + 7y = 2x^3 with the initial condition: y(1) = 18.

y(x) = ?

2. Relevant equations

dy/dx +P(x)y=Q(x), integrating factor=e^∫P(x) dx

3. The attempt at a solution

Multiplied all terms by 1/x to get it in correct form dy/dx+7y/x=2x^2

integrating factor=e^∫7/x dx=x^7

here is where i get lost do i multiply everything back into the original eq. or am i already off. I am not getting the correct answer.

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# Homework Help: 1st order linear differential eq. using integrating factor

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