No AI is used
  1. Home
  2. Calculators
  3. Calculators: Differential Equations
  4. Calculus Calculator

Differential Equation Calculator

Solve differential equations

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 contact us.

Your input: solve $$$- 9 y ' \left(x \right) + y ' ' \left(x \right) = 0$$$, $$$y\left(0\right)=9$$$, $$$y ' \left(0\right)=6$$$

Answer

$$$y{\left(x \right)} = \frac{2 e^{9 x} + 25}{3}$$$