What is the solution for (dy)/(dx)+3/x y=x^5 ?

The solution for (dy)/(dx)+3/x y=x^5 is y=(x^6)/9+(c_{1})/(x^3)

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(dy)/(dx)+3/x y=x^5

\frac{d y}{d x} + \frac{3}{x} y = x^{5}

y = \frac{x ^{6}}{9} + \frac{c _{1}}{x ^{3}}

Solution steps

\frac{d y}{d x} + \frac{3}{x} y = x^{5}

Solve linear ODE:

y = \frac{x ^{6}}{9} + \frac{c _{1}}{x ^{3}}

y = \frac{x ^{6}}{9} + \frac{c _{1}}{x ^{3}}

What is the solution for (dy)/(dx)+3/x y=x^5 ?
The solution for (dy)/(dx)+3/x y=x^5 is y=(x^6)/9+(c_{1})/(x^3)