What is the solution for x(dy)/(dx)+3y=(e^x)/(x^2) ?

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

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x(dy)/(dx)+3y=(e^x)/(x^2)

x \frac{d y}{d x} + 3 y = \frac{e ^{x}}{x ^{2}}

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

Solution steps

x \frac{d y}{d x} + 3 y = \frac{e ^{x}}{x ^{2}}

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 x(dy)/(dx)+3y=(e^x)/(x^2) ?
The solution for x(dy)/(dx)+3y=(e^x)/(x^2) is y=(e^x)/(x^3)+(c_{1})/(x^3)