(a) Verify that y 1 (x) shy e x is a solution of xy ' ' (x 10)y ' 10y shy 0 (b) Use (5) to fi shy nd a second solution y 2 (x) Use a CAS to carry out the required integration (c) Explain, using Corollary (A) of Theorem 4 1 2, why the second solution can be written compactly as 10 1 y2(x) Ex () n 0

Question: (a) Verify that y 1 (x) = e x is a solution of xy'' (x + 10)y' + 10y = 0. (b) Use (5) to

(a) Verify that y₁(x) = e^xis a solution of

xy'' €‘ (x + 10)y' + 10y = 0.

(b) Use (5) to find a second solution y₂(x). Use a CAS to carry out the required integration.

10 1 y2(x) = Ex

10 1 y2(x) = Ex". ! -() n=0

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