What is the solution for 4y(dy)/(dx)=6x^2 ?

The solution for 4y(dy)/(dx)=6x^2 is y=sqrt(x^3+c_{1)},y=-sqrt(x^3+c_{1)}

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4y(dy)/(dx)=6x^2

4 y \frac{d y}{d x} = 6 x^{2}

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

Solution steps

4 y \frac{d y}{d x} = 6 x^{2}

Solve separable ODE:

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

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

y^{3} \frac{d y}{d x} = 5 x^{2} y^{4} - 20 x^{2}

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

\frac{d}{d x} (f (x)^{- 1}) x^{2} - 8 x - 9 x = - 21

y^{^{'}} = \frac{y - 1}{x}

\frac{d y}{d x} = - 2 (y - 40)

What is the solution for 4y(dy)/(dx)=6x^2 ?
The solution for 4y(dy)/(dx)=6x^2 is y=sqrt(x^3+c_{1)},y=-sqrt(x^3+c_{1)}