What is the solution for (dy}{dx}+\frac{4y)/x =-3x ?

The solution for (dy}{dx}+\frac{4y)/x =-3x is y=-(x^2)/2+(c_{1})/(x^4)

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(dy}{dx}+\frac{4y)/x =-3x

\frac{d y}{d x} + \frac{4 y}{x} = - 3 x

y = - \frac{x ^{2}}{2} + \frac{c _{1}}{x ^{4}}

Solution steps

\frac{d y}{d x} + \frac{4 y}{x} = - 3 x

Solve linear ODE:

y = - \frac{x ^{2}}{2} + \frac{c _{1}}{x ^{4}}

y = - \frac{x ^{2}}{2} + \frac{c _{1}}{x ^{4}}

\int (2 x + 1) e^{3 x} d x

\frac{3}{x ^{13}}

\frac{d}{d x} (3 x^{3} y - y^{3})

\int ln (x) d x

What is the solution for (dy}{dx}+\frac{4y)/x =-3x ?
The solution for (dy}{dx}+\frac{4y)/x =-3x is y=-(x^2)/2+(c_{1})/(x^4)