What is the solution for 5y(dy)/(dx)=9x^2 ?

The solution for 5y(dy)/(dx)=9x^2 is y=sqrt((6x^3+c_{1))/5},y=-sqrt((6x^3+c_{1))/5}

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5y(dy)/(dx)=9x^2

5 y \frac{d y}{d x} = 9 x^{2}

y = \frac{6 x ^{3} + c _{1}}{5}, y = - \frac{6 x ^{3} + c _{1}}{5}

Solution steps

5 y \frac{d y}{d x} = 9 x^{2}

Solve separable ODE:

y = \frac{6 x ^{3} + c _{1}}{5}, y = - \frac{6 x ^{3} + c _{1}}{5}

y = \frac{6 x ^{3} + c _{1}}{5}, y = - \frac{6 x ^{3} + c _{1}}{5}

\frac{d y}{d x} y = 3 x + 7

(x^{2} - 20 x + 51) \frac{d y}{d x} = y

\frac{d y}{d x} = \frac{( e ^{y} \cdot sin ^{2} ( x ) )}{y \cdot sec ( x )}

7 \frac{d y}{d x} + x^{2} y = 0

4 y^{^{'}} + 2 x + 2 c e^{2 y} y^{^{'}} = 0

What is the solution for 5y(dy)/(dx)=9x^2 ?
The solution for 5y(dy)/(dx)=9x^2 is y=sqrt((6x^3+c_{1))/5},y=-sqrt((6x^3+c_{1))/5}