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}}

y = \frac{1}{5 + 3 x}, (- 1, \frac{1}{2})

\int \frac{2 x + 3}{x ^{2} + 3 x - 10} d x

\int (- 5 x^{- 3} + 5 x^{5}) d x

x \to \infty lim (\frac{1}{x} + 4)

\int sin (x) 2 x d x

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)