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Consider the initial value problem, ay''+by'+cy=0, y(0)=d, y'(0)=f where a,b,c,d and f are constants which one...

Consider the initial value problem, ay''+by'+cy=0, y(0)=d, y'(0)=f where a,b,c,d and f are constants which one of the following could be a solution to the initial value problem? Give breif exlpanation to why the correct answer can be a solution, and why the others can not possibly satisfy the equation.

a. sin(t)+e^t

b. cost+e^tsint

c. cost+1

d. e^tcost

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