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1. For each of these problems, (i) verify by direct substitution that y1 and y2 are...

1. For each of these problems, (i) verify by direct substitution that y1 and y2 are both solutions of the ODE, and (ii) find the particular solution in the form y(x) = c1y1(x) + c2y2(x) that satisfies the given initial conditions. (a) y''+5y'-6y=0, y1(x) = e^−6x , y2(x) = e^x , y(0)=2, y'(0)=1

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