What is the solution for x(dy)/(dx)=x^3+16x^3y ?

The solution for x(dy)/(dx)=x^3+16x^3y is y=(e^{(16x^3+c_{1})/3})/(16)-1/16

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x(dy)/(dx)=x^3+16x^3y

x \frac{d y}{d x} = x^{3} + 16 x^{3} y

y = \frac{e ^{\frac{16 x ^{3} + c _{1}}{3}}}{16} - \frac{1}{16}

Solution steps

x \frac{d y}{d x} = x^{3} + 16 x^{3} y

Solve separable ODE:

y = \frac{e ^{\frac{16 x ^{3} + c _{1}}{3}}}{16} - \frac{1}{16}

y = \frac{e ^{\frac{16 x ^{3} + c _{1}}{3}}}{16} - \frac{1}{16}

d x + e^{6 x} d y = 0

x y^{^{'}} - y = x^{2} cos (x)

\int (10 x + 1) e^{- 5 x} d x

\int cos (3 x - 2 π) cos (x + π) d x

2 (x^{3} - x)^{4}

What is the solution for x(dy)/(dx)=x^3+16x^3y ?
The solution for x(dy)/(dx)=x^3+16x^3y is y=(e^{(16x^3+c_{1})/3})/(16)-1/16