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

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

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(dy}{dx}+(3y)/x =\frac{e^x)/(x^3)

\frac{d y}{d x} + \frac{3 y}{x} = \frac{e ^{x}}{x ^{3}}

y = \frac{e ^{x}}{x ^{3}} + \frac{c _{1}}{x ^{3}}

Solution steps

\frac{d y}{d x} + \frac{3 y}{x} = \frac{e ^{x}}{x ^{3}}

Solve linear ODE:

y = \frac{e ^{x}}{x ^{3}} + \frac{c _{1}}{x ^{3}}

y = \frac{e ^{x}}{x ^{3}} + \frac{c _{1}}{x ^{3}}

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