Solve the initial value problem y'' - 4y = 6 t exp(t) using Laplace transforms. When writing your answer limit yourself to showing (i) the equation for L(y), the Laplace transform; (ii) the partial fraction decomposition; (iii) the antitransforms that finish the problem.

Need to know if it’s A B C or D

Solve the given initial value problem using the method of Laplace transforms. y'' + 7y' +12y = tu(t-1); y(0) = 0, y'(0)=1 Click here to view the table of Laplace transforms Click here to view the table of properties of Laplace transforms

Find y(t)=

6 help Laplace problem

Suppose y satisfies the initial value problem ƒ y" (1) − 4y' (1) + 5y(t) = 8(t − 3) 1 y(0) = 0 and y'(0) = 1 Where is the delta function. Let Y(s) = L{ y(t)}. (a) By taking the Laplace transform of the ODE, show that how that Y(s) = (b) Determine an expression for y(t) by calculating £¯¹ {Y(s)} = e-3s +1 s² - 4s +5 Note: State each Laplace transform property as you use it. Refer to each property using its row number in the Table of Laplace Transforms provided. For example: "L{1} by [LT1]"