What is the solution for x(dy)/(dx)=x^3+24x^3y ?

The solution for x(dy)/(dx)=x^3+24x^3y is y=(e^{8x^3+c_{1}})/(24)-1/24

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x(dy)/(dx)=x^3+24x^3y

x \frac{d y}{d x} = x^{3} + 24 x^{3} y

y = \frac{e ^{8 x^{3} + c_{1}}}{24} - \frac{1}{24}

Solution steps

x \frac{d y}{d x} = x^{3} + 24 x^{3} y

Solve separable ODE:

y = \frac{e ^{8 x^{3} + c_{1}}}{24} - \frac{1}{24}

y = \frac{e ^{8 x^{3} + c_{1}}}{24} - \frac{1}{24}

\int (2 cos (x)) d x

\frac{d y}{d x} = \frac{3 sec ( y )}{( x - 3 ) ^{2}}

cos (x), sin (2 x), [0, \frac{π}{2}]

\frac{\partial}{\partial u} (\frac{u}{v})

\frac{d}{d x} ((x^{2} - 1) (- x^{2} - 4 x - 2))

What is the solution for x(dy)/(dx)=x^3+24x^3y ?
The solution for x(dy)/(dx)=x^3+24x^3y is y=(e^{8x^3+c_{1}})/(24)-1/24