Question

Solve each of the following IVP by the Laplace transform method:

y""+3y’-4y=6e⁽²ᵗ⁻³⁾ y(1.5)=4 y’(1.5)=5

Answer 1

The IVP involving a second-order differential equation is solved using the Laplace transform technique, but the provided information is not directly relevant to the question.

Step-by-step explanation:

To solve the initial value problem (IVP) using the Laplace transform method, we begin by taking the Laplace transform of both sides of the differential equation y"" + 3y' - 4y = 6e^(2t-3), considering initial conditions y(1.5)=4 and y'(1.5)=5. Unfortunately, the provided information does not seem directly relevant to solving this specific problem. Hence, an accurate solution to the IVP would require a proper application of the Laplace transform to the given differential equation, along with the use of the initial conditions, to solve for Y(s), the Laplace transform of the function y(t). The solution in the time domain could then be found by applying the inverse Laplace transform to Y(s).