Differential Equations Solver

About Differential Equations

A differential equation is one that involves a function and its derivatives. The 14 examples cover first-order separable equations (dy/dx = f(x)g(y), separate and integrate both sides), first-order linear equations (the integrating-factor method), exact equations, and second-order linear equations with constant coefficients — both homogeneous (characteristic equation, three cases for the roots) and non-homogeneous (the method of undetermined coefficients). The problems are picked from B.Sc and B.Tech first-year mathematics, and each one ends with the general solution written out clearly.

What this calculator does

• Step-by-step working. Every intermediate line is shown, in the layout examiners reward in CBSE / ICSE and university scripts.
• Graphs where they help. Functions and equations are plotted so you can see the result rather than just read it.
• Verification. The answer is substituted back into the original problem so you know the working is consistent.

Frequently Asked Questions