# Worksheet: Cauchy–Euler Differential Equation

In this worksheet, we will practice solving Cauchy–Euler differential equations of the general form aₙ xⁿ y⁽ⁿ⁾ + aₙ₋₁ xⁿ⁻¹ y⁽ⁿ⁻¹⁾ + ... + a₀ y = f(x).

**Q1: **

The functions , , and are three linearly independent solutions of the differential equation . Find a particular solution satisfying the initial conditions , , and .

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**Q2: **

The functions , , and are three linearly independent solutions of the differential equation . Find a particular solution satisfying the initial conditions , , and .

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