About the Differential Equation Solver
Separable, linear, and homogeneous first-order ODEs, classified and solved.
What it is
The Differential Equation Solver takes a first-order ODE in dy/dx = f(x,y) form, detects whether it's separable, linear, or homogeneous, and โ for equations matching a supported closed-form template โ walks through the method step by step to the general solution. Add an initial condition to get the particular solution. Every equation, solvable or not, gets a slope field and a numerically integrated representative curve.
Features
Type detection
Classifies the equation as separable, linear, or homogeneous.
Step-by-step solving
Separation of variables or integrating-factor steps for supported templates.
General and particular solution
Solves for the constant when an initial condition is given.
Slope-field visualization
A direction field with a solution curve drawn on top.