What is the solution for 6y(dy)/(dx)=7x^2 ?

The solution for 6y(dy)/(dx)=7x^2 is y=(sqrt(7x^3+c_{1)})/3 ,y=-(sqrt(7x^3+c_{1)})/3

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6y(dy)/(dx)=7x^2

6 y \frac{d y}{d x} = 7 x^{2}

y = \frac{7 x ^{3} + c _{1}}{3}, y = - \frac{7 x ^{3} + c _{1}}{3}

Solution steps

6 y \frac{d y}{d x} = 7 x^{2}

Solve separable ODE:

y = \frac{7 x ^{3} + c _{1}}{3}, y = - \frac{7 x ^{3} + c _{1}}{3}

y = \frac{7 x ^{3} + c _{1}}{3}, y = - \frac{7 x ^{3} + c _{1}}{3}

(5 x - 2) d x + (2 y + 1) d y = 0

\frac{d S}{d t} = - a S (t)

\frac{d P}{d t} = 0.05 P (1 - \frac{P}{1000}) - 8

x y^{^{'}} = (2 x^{2} - 1) y

\frac{d}{d x} (h g (x)) = h g (x)

What is the solution for 6y(dy)/(dx)=7x^2 ?
The solution for 6y(dy)/(dx)=7x^2 is y=(sqrt(7x^3+c_{1)})/3 ,y=-(sqrt(7x^3+c_{1)})/3