(a) Use (18) to show that the general solution of the differential equation xy'' + y =...

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(a) Use (18) to show that the general solution of the differential equation xy'' + λy = 0 on the interval (0, ∞) is

y = c, VAJ,(2VAx) + c,VãY,(2VAX).


(b) Verify by direct substitution that y = √xJ1(2√x) is a particular solution of the DE in the case λ = 1.

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