What is the solution for (1+x^3)dy-x^2ydx=0 ?

The solution for (1+x^3)dy-x^2ydx=0 is y=c_{1}\sqrt[3]{1+x^3}

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(1+x^3)dy-x^2ydx=0

(1 + x^{3}) d y - x^{2} y d x = 0

y = c_{1} 3 1 + x^{3}

Solution steps

(1 + x^{3}) d y - x^{2} y d x = 0

Solve separable ODE:

y = c_{1} 3 1 + x^{3}

y = c_{1} 3 1 + x^{3}

x d y + y ln (y) d x = 0

\int \frac{2 x ^{5} + 1}{2 x - 2 x ^{5}} d x

\int x (x^{2} + 1)^{3} d x

x \to π lim (- 3 cos (6 x))

f (x) = 10 e^{x}

What is the solution for (1+x^3)dy-x^2ydx=0 ?
The solution for (1+x^3)dy-x^2ydx=0 is y=c_{1}\sqrt[3]{1+x^3}