Question: Consider the following Initial Value Problem (IVP) y - 4y' + dy =t'e with y(0) = 0 and y' (0) = 0 where y is

Consider the following Initial Value Problem (IVP) y" - 4y' + dy =t'e" with y(0) = 0 and y' (0) = 0 where y is the dependent variable which is a function of the independent variable t. Solve this problem using Laplace Transforms. Select the equations that are associated with the Laplace transform solution method for this ODE (there are 3 correct answers out of 5). O y(t) = 2te (cos(21) + sin(2t)) + 3tel* (s? - 48 + 4) Y(s) = 6 (s - 2)4 Y(s) = 6 (s - 2)5 y(1 ) = 20 Y(s) =7 6(s + 2) (s - 2)- (8] - 4s + 4)

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