Use the substitution x = et to transform the given Cauchy-Euler equation to a differential equation with constant coefficients. Solve the original equation by solving the new equation x2y'' + 9xy' - 20y = 0

Step-by-step explanation:

Hello,

let's follow the advise and proceed with the substitution

first estimate y'(x) and y''(x) in function of y'(t), y''(t) and t

Now we can substitute in the equation

so the new equation is

the auxiliary equation is

so the solutions of the new equation are

with a and b real

as

hope this helps

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step-by-step explanation:

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