Differential Equation Calculator

The calculator will try to find the solution of the given ODE: first-order, second-order, nth-order, separable, linear, exact, Bernoulli, homogeneous, or inhomogeneous.

Initial conditions are also supported.

Enter an equation (and, optionally, the initial conditions):
For example, y''(x)+25y(x)=0, y(0)=1, y'(0)=2.
Write y'(x) instead of (dy)/(dx), y''(x) instead of (d^2y)/(dx^2), etc.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Your input: solve $y ' \left(x \right) = x^{2}$, $y\left(0\right)=2$

$y{\left(x \right)} = \frac{x^{3}}{3} + 2$