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[Cauchy-Euler equations] For the following equations with the unknown function y = y(x), find the general...

[Cauchy-Euler equations] For the following equations with the unknown function y = y(x), find the general solution by changing the independent variable x to et and re-writing the equation with the new unknown function v(t) = y(et).

x2y′′ +xy′ +y=0

x2y′′ +xy′ +4y=0

x2y′′ +xy′ −4y=0

x2y′′ −4xy′ −6y=0

x2y′′ +5xy′ +4y=0.

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