What is the solution for (dy}{dx}+\frac{7y)/x =-5x-10 ?

The solution for (dy}{dx}+\frac{7y)/x =-5x-10 is y=-(5x^2)/9-(5x)/4+(c_{1})/(x^7)

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(dy}{dx}+\frac{7y)/x =-5x-10

\frac{d y}{d x} + \frac{7 y}{x} = - 5 x - 10

y = - \frac{5 x ^{2}}{9} - \frac{5 x}{4} + \frac{c _{1}}{x ^{7}}

Solution steps

\frac{d y}{d x} + \frac{7 y}{x} = - 5 x - 10

Solve linear ODE:

y = - \frac{5 x ^{2}}{9} - \frac{5 x}{4} + \frac{c _{1}}{x ^{7}}

y = - \frac{5 x ^{2}}{9} - \frac{5 x}{4} + \frac{c _{1}}{x ^{7}}

\frac{\partial}{\partial x} (9 x^{7} y^{6} + 7 x^{5} y^{8})

(3 x - 4)^{2}

f (x) = \frac{5}{1 + x ^{2}}

n = 1 \sum \infty n e^{- 4 n}

y = x^{4} + 9 x^{2} - x

What is the solution for (dy}{dx}+\frac{7y)/x =-5x-10 ?
The solution for (dy}{dx}+\frac{7y)/x =-5x-10 is y=-(5x^2)/9-(5x)/4+(c_{1})/(x^7)