Problem #1: Using the fact that y1(x)=ex is solution of the second order linear homogeneous DE (8+9x)y′′−9y′+(1−9x)y=0,
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Problem #1: Using the fact that y1(x)=ex is solution of the second order linear homogeneous DE (8+9x)y′′−9y′+(1−9x)y=0,
Problem #1: Using the fact that y1(x)=ex is solution of the second order linear homogeneous DE (8+9x)y′′−9y′+(1−9x)y=0, find a second linearly independent solution y2(x) using the method of reduction of order (Do NOT enter y2(x) a part of your answer) and then find the unique solution of the above DE satisfying the initial conditions y(0)=−21,y′(0)=11 Enter your answer as a Problem #1: these examples
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