Differential Equation Solver

The equation to solve, with an = sign. Write the unknown function as y and its derivatives as y' and y''; x is the independent variable.

Example: y' = 2*y or y'' + y = sin(x).

The x value where the initial conditions are given. Leave all three fields empty to get the general solution with free constants C1 (and C2).

The value of the solution at x₀. Together with x₀ this pins down the constant of a first-order equation.

The slope y′ at x₀. A second-order equation has two free constants, so it needs both y(x₀) and y′(x₀) for a unique particular solution.