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Verify that the function ϕ(t)=c1e^−t+c2e^−2t is a solution of the linear equation y′′+3y′+2y=0 for any choice...

Verify that the function ϕ(t)=c1e^−t+c2e^−2t is a solution of the linear equation

y′′+3y′+2y=0

for any choice of the constants c1c1 and c2c2. Determine c1c1 and c2c2 so that each of the following initial conditions is satisfied:

(a) y(0)=−1,y′(0)=4

(b) y(0)=2,y′(0)=0

Math   Calculus   
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