DiffEqReduction of Order

Reduction of Order — Finding a Second Solution

Given one solution y₁ of y″ + P(x)y′ + Q(x)y = 0, find y₂ = v(x)y₁ by substituting and solving the resulting first-order equation.

Live Calculator · Step-by-Step · Differential Equations

Inputs

Equation & Known Solution y₁

Results

Known Solution y₁

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Reduction Substitution

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Second Solution y₂

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Wronskian W(y₁,y₂)

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General Solution

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Step-by-Step Work

Your solution will appear here.

Solutions y₁(x) and y₂(x) on [0.5, 5]