Use the annihilator method to show that if a0= 0 and in

Chapter 6, Problem 35E

(choose chapter or problem)

Use the annihilator method to show that if \(a_{0}=0\) and \(a_{1} \neq 0\) in (4) and \(f(x)\) has the form given in (17), then equation (4) has a particular solution of the form
\(y_{p}(x)=x\left\{B_{m} x^{m}+B_{m-1} x^{m-1}+\ldots+B_{1} x+B_{0}\right\}\)

Equation transcription:

Text transcription:

a{0}=0

a{1} neq 0

f(x)

y{p}(x)=x{B_{m} x^{m}+B{m-1} x^{m-1}+ldots+B{1} x+B{0}}

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