What is the solution for 3y(dy)/(dx)=11x^2 ?

The solution for 3y(dy)/(dx)=11x^2 is y=(sqrt(22x^3+c_{1)})/3 ,y=-(sqrt(22x^3+c_{1)})/3

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3y(dy)/(dx)=11x^2

3 y \frac{d y}{d x} = 11 x^{2}

y = \frac{22 x ^{3} + c _{1}}{3}, y = - \frac{22 x ^{3} + c _{1}}{3}

Solution steps

3 y \frac{d y}{d x} = 11 x^{2}

Solve separable ODE:

y = \frac{22 x ^{3} + c _{1}}{3}, y = - \frac{22 x ^{3} + c _{1}}{3}

y = \frac{22 x ^{3} + c _{1}}{3}, y = - \frac{22 x ^{3} + c _{1}}{3}

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

d x + x y d y = y^{2} d x + y d y, y (2) = 3

\frac{d y}{d t} = \frac{2 t}{1 + 2 y}, y (2) = 0

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

\frac{d}{d x} ((y - 3)^{2}) = 2 - (x - 1)^{2}

What is the solution for 3y(dy)/(dx)=11x^2 ?
The solution for 3y(dy)/(dx)=11x^2 is y=(sqrt(22x^3+c_{1)})/3 ,y=-(sqrt(22x^3+c_{1)})/3