Cauchy-Euler Equation

Rarely Tested

Form: $$x^2 \frac{d^2y}{dx^2} + a x \frac{dy}{dx} + by = R(x)$$
Substitute $$x = e^t$$ (or $$t = \ln x$$).
Reduces to constant coefficient DE: $$\frac{d^2y}{dt^2} + (a-1)\frac{dy}{dt} + by = R(e^t)$$.
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