Differential Equations

Linear First-Order ODE â€” Integrating Factor

Solve dy/dx + P(x)y = Q(x) using the integrating factor Î¼ = e^(âˆ«P dx). Multiply through, recognize the product rule, integrate, and apply the initial condition.

Live Calculator Â· Step-by-Step Â· Differential Equations

Inputs

ODE Preset

Initial Condition xâ‚€

Initial Condition yâ‚€ = y(xâ‚€)

Result

Standard Form

â€”

Integrating Factor Î¼

â€”

General Solution

â€”

Particular Solution

â€”

Step-by-Step Work

Select a preset above.

Particular Solution y(x)