Differentialgleichungsrechner

Der Rechner versucht, die Lösung der gegebenen ODE zu finden: 1. Ordnung, 2. Ordnung, n-ter Ordnung, trennbar, linear, exakt, Bernoulli, homogen oder inhomogen.

Anfangsbedingungen werden ebenfalls unterstützt.

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

Answer

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