# Second-order homogeneous Euler equation

Please show all steps to solution.

Solve the second-order homogeneous equation

4x^2y''-4xy'+3y=0,

by applying the transformation v=lnx, x>0

This is a second-order Euler equation.

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Solve the second-order homogenous equation

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This provides an example of solving a second-order homogeneous Euler equation.

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