Differential Equation Calculator
A powerful tool for solving ordinary differential equations (ODEs) with step-by-step solutions and visualizations. Perfect for students and professionals in STEM fields. Supports first/second-order ODEs and systems.
What Is It?
This calculator provides:
- Analytical solutions to differential equations
- Step-by-step solving process
- Interactive graphical representations
- Support for various equation types
- Educational explanations
How to Use
- Select equation type from the dropdown (First Order/Second Order/System)
- Enter your equation using standard mathematical notation (e.g., “dy/dx = x + y”)
- Add initial conditions if required (e.g., “y(0)=1”)
- Click “Solve Equation” to process
- View the step-by-step solution and interactive graph
FAQs
Q: What types of equations can it solve?
A: Currently supports ordinary differential equations (first-order, second-order, and systems)
Q: Is there mobile support?
A: Yes, fully responsive design works on all devices
Q: How accurate are the solutions?
A: Solutions use exact analytical methods where possible
Q: Can I save my calculations?
A: Currently supports copy/paste functionality (future versions will add saving)
Key Terminology
- ODE: Ordinary Differential Equation - an equation containing derivatives of a function
- First-order ODE: Contains only first derivatives (e.g., dy/dx)
- Second-order ODE: Contains second derivatives (e.g., d²y/dx²)
- Initial Condition: Specified values needed for unique solutions
- Analytical Solution: Exact mathematical solution (vs. numerical approximation)