In 27–30, is a twoparameter family of the second-order DE
Chapter , Problem 31RP(choose chapter or problem)
In Problems 31–34, \(y=c_{1} e^{3 x}+c_{2} e^{-x}-2 x\) is a two parameter family of the second-order DE \(y^{\prime \prime}-2 y^{\prime}-3 y=6 x+4\). Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions.
y (0) = 0, \(y^{\prime}(0)=0\)
Text Transcription:
y=c_1 e^3x + c_2 e^-x - 2x
y^prime prime - 2y^prime - 3y = 6x+4
y^prime(0) = 0
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