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Popular Calculus >

y^'=x^2y

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

derivative of 4th 1/(x-5)

d er i v a t i v e 4 t h \frac{1}{x - 5}

derivative of (8x^2+4x+2)/(sqrt(x))

d er i v a t i v e \frac{8 x ^{2} + 4 x + 2}{x}

f(x)=-3xsqrt(x+1)

f (x) = - 3 x x + 1

integral of (2+2x)/(x-4x(1+x))

\int \frac{2 + 2 x}{x - 4 x ( 1 + x )} d x

integral of 2x+4/x

\int 2 x + \frac{4}{x} d x

Frequently Asked Questions (FAQ)

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