What is the solution for (xdy)/(dx)+5y=7x^2,f(2)=5 ?

The solution for (xdy)/(dx)+5y=7x^2,f(2)=5 is y=x^2+(32)/(x^5)

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(xdy)/(dx)+5y=7x^2,f(2)=5

\frac{x d y}{d x} + 5 y = 7 x^{2}, f (2) = 5

y = x^{2} + \frac{32}{x ^{5}}

Solution steps

\frac{x d y}{d x} + 5 y = 7 x^{2}

Solve linear ODE:

y = x^{2} + \frac{32}{x ^{5}}

y = x^{2} + \frac{32}{x ^{5}}

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What is the solution for (xdy)/(dx)+5y=7x^2,f(2)=5 ?
The solution for (xdy)/(dx)+5y=7x^2,f(2)=5 is y=x^2+(32)/(x^5)