Differential Equations

Solve ordinary and partial differential equations with step-by-step solutions. Covers separable, linear, exact, and higher-order ODEs, as well as systems of differential equations.

Usage

Provide a differential equation and initial conditions to get a complete step-by-step solution.

Examples

• "Solve dy/dx = 2xy with y(0) = 1"
• "Find the general solution of y'' + 4y = 0"
• "Solve this system of two coupled ODEs"

Guidelines

• Classify the equation type before choosing a solution method
• Show all integration steps and constant handling clearly
• Apply initial conditions to find particular solutions
• Verify solutions by substituting back into the original equation
• Explain the physical meaning of the solution when applicable