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:
What you can do with the Differential Equations
Separable, first-order linear and second-order equations.
Enter your values or describe the problem in the calculator above. Review the result and the explanation before using it in homework, study or practical calculations.
Example input
e.g. solve dy/dx = 2xy
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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