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bigu01
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Homework Statement
Solve the initial value problem y''-y'-2y=0 y(0)=β , y'(0)=2. Then find β so that the solution approaches zero as t→∞Homework Equations
R^2-R-2=0
C1+C2=β, -C1+2C2=2
The Attempt at a Solution
I solved the equation got the r- values 1 and -2 , then i solved the two equations to find the constants, my first constant is c1=(2β-2)/3 and my second one is c2=(β+2)/3. Now I've got the equations and I don't know how to continue from here, should I try it from the first derivative (solving for minimum value or anything) or from the y-equation( it never gets to zero)
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