What is the solution for (dy)/(dx)+6x^5y=x^5 ?

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

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(dy)/(dx)+6x^5y=x^5

\frac{d y}{d x} + 6 x^{5} y = x^{5}

y = \frac{e ^{- x^{6} + c_{1}}}{6} + \frac{1}{6}

Solution steps

\frac{d y}{d x} + 6 x^{5} y = x^{5}

Solve separable ODE:

y = \frac{e ^{- x^{6} + c_{1}}}{6} + \frac{1}{6}

y = \frac{e ^{- x^{6} + c_{1}}}{6} + \frac{1}{6}

\frac{\partial}{\partial z} (10 e^{x} sin (y) z^{3})

\frac{d}{d x} ((A x^{2} + B x + C) (e^{4 x}))

y^{^{'}} = \frac{2 y ^{4} - 2}{4 x y ^{3}}

n = 3 \sum \infty 1 + \frac{1}{n ^{2}}

x \cdot e^{x}

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