Differential Equations
Solve separable, first-order linear and second-order differential equations, with the method and the constant of integration shown. Try “solve dy/dx = 2xy”.
Try an example:
How the Differential Equations works
- Classify the equation: separable, linear (integrating factor) or constant-coefficient second-order.
- Separate variables and integrate both sides, or apply the integrating factor or characteristic equation.
- Solve for y and use any initial condition to find the constant.
Frequently asked questions
What is a separable equation?
One you can rearrange so all y terms are with dy and all x terms with dx, then integrate each side.
What is an initial value problem?
A differential equation together with a starting condition that picks one particular solution.
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