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Popular >

y^'=2x^2y

Solution

y^{^{'}} = 2 x^{2} y

Solution

y = e^{\frac{2 x ^{3}}{3} + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{\frac{2 x ^{3}}{3} + c_{1}}

y = e^{\frac{2 x ^{3}}{3} + c_{1}}

Popular Examples

e^{2x}(2cos(y)dx-sin(y)dy)=0

e^{2 x} (2 cos (y) d x - sin (y) d y) = 0

3(1+t^2)y^'=2ty(y^3-1)

3 (1 + t^{2}) y^{^{'}} = 2 t y (y^{3} - 1)

(dy)/(dx)=2xy-x

\frac{d y}{d x} = 2 x y - x

(dy)/(dx)=-0.01y

\frac{d y}{d x} = - 0.01 y

(dy)/(dt)+2ty=t

\frac{d y}{d t} + 2 t y = t

Frequently Asked Questions (FAQ)

What is the solution for y^'=2x^2y ?
The solution for y^'=2x^2y is y=e^{(2x^3)/3+c_{1}}