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    Euler-Cauchy Equation

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    Consider the differential equation: r^2*R"+r*R'-R=0

    a) Find all values of n for which the function R=r^n is a solution to the differential equation. Do this by substituting {the solution into the DE and seeing which values of n will make the equation true.

    b) Solve the initial-value problem (IVP) with R(1)=2 and R'(1)=0.

    Seeing the attached file.

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    Solution Summary

    The solution shows how to use the substition method to solve this class of differential equations.