Question 7 Find a+b+ca+b+c if \phi(x)=ae^x+be^{cx}ϕ(x)=aex+becx is a solution to the initial value problem: y''+y'-2y=0;~~y(0)=2,~y'(0)=1.y′′+y′−2y=0;  y(0)=2, y′(0)=1. Here aa, bb and cc are constants.

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Question 7

Find a+b+ca+b+c if \phi(x)=ae^x+be^{cx}ϕ(x)=aex+becx is a solution to the initial value problem: y''+y'-2y=0;~~y(0)=2,~y'(0)=1.y′′+y′−2y=0;  y(0)=2, y′(0)=1. Here aa, bb and cc are constants.

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