Differential Equations First-Order Solver

Solve separable and first-order linear ordinary differential equations (y' + P(x)y = Q(x)) with initial values.

First-Order ODE Standard Form

Rate Constant / Parameter (k)

Initial Condition y(0) = y₀

Particular Solution y(x)

Solved via Separation of Variables: ∫(1/y)dy = ∫k dx

General Solution: y(x) = C · e^(0.5x)

How to Use

Enter the first-order ode standard form, rate constant / parameter and initial condition y.
Select Solve Differential Equation to view the particular solution y(x).