DiffEqCauchy-Euler

Cauchy-Euler Equation: ax²y″ + bxy′ + cy = 0

Solve the equidimensional equation using trial y = xʳ, deriving the indicial equation ar² + (b−a)r + c = 0.

Live Calculator · Step-by-Step · Differential Equations

Inputs

a (x²y″)

b (xy′)

c (y)

y(1) = y₀

y′(1) = y₁

Results

Indicial Equation

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Discriminant & Roots

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General Solution

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Particular Solution (with ICs)

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Step-by-Step Work

Your solution will appear here.

Solution y(x) on [0.1, 5]