Differential Equations

Bernoulli Equation Solver

Solve dy/dx + P(x)y = Q(x)yⁿ using the substitution v = y^(1−n) to convert the nonlinear ODE into a linear first-order equation.

Live Calculator · Step-by-Step · Differential Equations

Inputs

Equation Preset

Initial Condition x₀

Initial Condition y₀ = y(x₀)

Result

Substitution

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Transformed Linear ODE

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Solution for v

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Particular Solution y(x)

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Step-by-Step Work

Select a preset above.

Particular Solution y(x)

Put It Into Practice

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

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