Solved: Verify that the general solution satisfies the differential equation Then find
Chapter 6, Problem 41(choose chapter or problem)
Verify that the general solution \(y=C_{1} x+C_{2} x^{3}\) satisfies the differential equation \(x^{2} y^{\prime \prime}-3 x y^{\prime}+3 y=0\). Then find the particular solution that satisfies the initial condition y = 0 and \(y^{\prime}=4\) when x = 2.
Text Transcription:
y=C_1x+C_2x^3
x^2y’’-3xy’+3y=0
y’=4
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