blem # 1: Using the fact that y1​(x)=ex is solution of the second order linear homogeneous DE (9+8x)y′′−8y′−(1+8x)y=0 fi

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Blem 1 Using The Fact That Y1 X Ex Is Solution Of The Second Order Linear Homogeneous De 9 8x Y 8y 1 8x Y 0 Fi 1 (50.48 KiB) Viewed 24 times

blem # 1: Using the fact that y1​(x)=ex is solution of the second order linear homogeneous DE (9+8x)y′′−8y′−(1+8x)y=0 find a second linearly independent solution y2​(x) using the method of reduction of order (Do NOT enter y2​(x) as part of your answer) and then find the unique solution of the above DE satisfying the initial conditions y(0)=−22,y′(0)=14 Enter your answer as a symbolic function of x, as in Problem #1: these examples Do not include ' y(x)= ' in your answer. (1340​e−x)(2−13​−4x)−2ex