What is the solution for (dy}{dx}+\frac{7y)/x =32 ?

The solution for (dy}{dx}+\frac{7y)/x =32 is y=4x+(c_{1})/(x^7)

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(dy}{dx}+\frac{7y)/x =32

\frac{d y}{d x} + \frac{7 y}{x} = 32

y = 4 x + \frac{c _{1}}{x ^{7}}

Solution steps

\frac{d y}{d x} + \frac{7 y}{x} = 32

Solve linear ODE:

y = 4 x + \frac{c _{1}}{x ^{7}}

y = 4 x + \frac{c _{1}}{x ^{7}}

y = 2 x^{3} - 2 x, (- 1, 0)

\frac{d}{d x} (e \frac{- x}{2})

\frac{( e ^{x} )}{x}

x \to 0 lim (2 x)

\int e^{2 x} ln (x) d x

What is the solution for (dy}{dx}+\frac{7y)/x =32 ?
The solution for (dy}{dx}+\frac{7y)/x =32 is y=4x+(c_{1})/(x^7)