๐Differential Equation Solver
Solve separable, linear, and homogeneous first-order ODEs with steps and a slope field.
Free Differential Equation Solver
Working through a first-order differential equation and want to check your method as well as your answer? Our free differential equation solver handles separable, linear, and homogeneous equations. Enter your equation in dy/dx = f(x,y) form, and the solver detects which method applies โ then shows every step, from separating variables or computing an integrating factor through to the final solution.
Add an initial condition and it solves for the constant to give you the particular solution, not just the general family. A slope field graph shows the direction field across the plane with a representative solution curve drawn directly on top. If an equation doesn't match a supported closed-form method, it says so clearly instead of guessing.
Enter your equation to get started. No sign-up, no downloads, no limits.