Differential Equations

Exact Equations — M dx + N dy = 0

Check if M dx + N dy = 0 is exact (∂M/∂y = ∂N/∂x), integrate M to get F, match ∂F/∂y to N to find g(y), and write F(x,y) = C.

Live Calculator · Step-by-Step · Differential Equations

Inputs

Exact ODE

Point x₀ (for IC)

Point y₀ (for IC)

Result

Exactness Check

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Potential Function F(x,y)

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Implicit Solution

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Constant C (at IC)

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Step-by-Step Work

Select an equation above.

Implicit Curve F(x,y) = C

Put It Into Practice

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

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