Differential Equation Calculator
Solve differential equations step by step
Equation Input
Input Format:
- • Use y' for first derivative
- • Use y'' for second derivative
- • Use * for multiplication
- • Use ^ for exponents
- • Include = sign in equation
Understanding Differential Equations
Types of Equations
- • First-order: Contains only first derivatives
- • Second-order: Contains second derivatives
- • Linear: Variable and derivatives appear linearly
- • Separable: Variables can be separated
Solution Methods
- • Separation of variables
- • Integrating factor method
- • Characteristic equation
- • Variation of parameters
Applications
Physics
- • Motion equations
- • Wave equations
- • Heat transfer
- • Quantum mechanics
Engineering
- • Circuit analysis
- • Control systems
- • Structural analysis
- • Fluid dynamics
Biology
- • Population growth
- • Disease spread
- • Chemical reactions
- • Neural networks