Differential Equations

Separable ODE Solver

Solve dy/dx = f(x)g(y) by separating variables, integrating both sides, and applying an initial condition.

Live Calculator · Step-by-Step · Differential Equations

Inputs

ODE Type (dy/dx =)

Initial Condition x₀

Initial Condition y₀ = y(x₀)

Result

Separated Form

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General Solution

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Particular Solution

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Constant C

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Step-by-Step Work

Select an ODE and initial condition above.

Particular Solution + Slope Field

Put It Into Practice

The calculator shows the steps — a quiz proves you can do them on your own.

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