What is the solution for (dy)/(dx)=3x^2y,y=9,x=0 ?

The solution for (dy)/(dx)=3x^2y,y=9,x=0 is y=9e^{x^3}

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(dy)/(dx)=3x^2y,y=9,x=0

\frac{d y}{d x} = 3 x^{2} y, y = 9, x = 0

y = 9 e^{x^{3}}

Solution steps

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

Solve separable ODE:

y = 9 e^{x^{3}}

y = 9 e^{x^{3}}

\frac{d y}{d x} = 3 y + 2, y (0) = 1

y^{^{'}} = 5 y, y (0) = 10

\frac{d y}{d x} = (\frac{3 x ^{2} + 4 x + 2}{2 ( y - 1 )})

y \frac{d y}{d x} = 5 x (y^{2} + 5)^{2}

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

What is the solution for (dy)/(dx)=3x^2y,y=9,x=0 ?
The solution for (dy)/(dx)=3x^2y,y=9,x=0 is y=9e^{x^3}