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.
Your input: solve $$$2 y{\left(x \right)} + 3 y ' \left(x \right) + y ' ' \left(x \right) = 5$$$, $$$y\left(0\right)=-1$$$, $$$y ' \left(0\right)=2$$$
Answer
$$$y{\left(x \right)} = \frac{5}{2} - 5 e^{- x} + \frac{3 e^{- 2 x}}{2}$$$