Find a general solution to the Cauchy-Euler equation $x^{3} y^{???} ? 19 x^{2} y^{??} + 110 x y^{?} ? 110 y = x^{7}, x > 0,$ given that ${x, x^{10}, x^{11}}$ is a fundamental solution set for the corresponding homogeneous equation. Write the integral formula for $y_{p} (x)$ using the fundamental solution set ${x, x^{10}, x^{11}}$ . Evaluate each Wronskian. Do not evaluate the integrals. $y_{p} (x) =$

Question

Find a general solution to the Cauchy-Euler equation

x^{3} y^{???} ? 19 x^{2} y^{??} + 110 x y^{?} ? 110 y = x^{7}, x > 0,

given that

{x, x^{10}, x^{11}}

is a fundamental solution set for the corresponding homogeneous equation. Write the integral formula for

y_{p} (x)

using the fundamental solution set

{x, x^{10}, x^{11}}

. Evaluate each Wronskian. Do not evaluate the integrals.

y_{p} (x) =

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