What is the solution for 3y(dy)/(dx)=5x^2 ?

The solution for 3y(dy)/(dx)=5x^2 is y=(sqrt(10x^3+c_{1)})/3 ,y=-(sqrt(10x^3+c_{1)})/3

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3y(dy)/(dx)=5x^2

3 y \frac{d y}{d x} = 5 x^{2}

y = \frac{10 x ^{3} + c _{1}}{3}, y = - \frac{10 x ^{3} + c _{1}}{3}

Solution steps

3 y \frac{d y}{d x} = 5 x^{2}

Solve separable ODE:

y = \frac{10 x ^{3} + c _{1}}{3}, y = - \frac{10 x ^{3} + c _{1}}{3}

y = \frac{10 x ^{3} + c _{1}}{3}, y = - \frac{10 x ^{3} + c _{1}}{3}

\frac{d x}{d t} = (2 - x) (1 - t)

\frac{y}{cos ( x )} \frac{d y}{d x} = \frac{1}{2}

\frac{d y}{d x} + 4 x y^{3} = 0, y (0) = \frac{1}{2}

\frac{d y}{d t} = - k y + 100 k, y (0) = 50

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

What is the solution for 3y(dy)/(dx)=5x^2 ?
The solution for 3y(dy)/(dx)=5x^2 is y=(sqrt(10x^3+c_{1)})/3 ,y=-(sqrt(10x^3+c_{1)})/3