Features
- •First-order linear differential equations with constant coefficients
- •Second-order linear differential equations with constant coefficients
- •Numerical methods (Euler's, Improved Euler's, and Runge-Kutta)
- •Step-by-step solutions for numerical methods
- •Support for initial value problems
- •Real-time error checking and validation
- •Comprehensive solution display
- •Multiple solving methods for different equation types
First-Order Linear Differential Equation
y' + a·y = b (with constant coefficients)
About Differential Equations
Differential equations are mathematical equations that relate a function with its derivatives. They are used to describe various phenomena in physics, engineering, economics, and other fields where change is involved.
Types of Differential Equations:
- First-order: Involve only the first derivative (y')
- Second-order: Involve up to the second derivative (y'')
- Linear: The dependent variable and its derivatives appear linearly
- Nonlinear: The dependent variable or its derivatives appear nonlinearly
This calculator provides analytical solutions for linear differential equations with constant coefficients and numerical approximations for more general cases.