The discussion focuses on solving the differential equation L[y]=H(t-pi/2)sint=q(t) using Green's function, with the initial condition y(0)=0. Participants emphasize the importance of the Heaviside function, noting its relationship as the integral of the Delta Dirac function. The key challenge is integrating the Heaviside function into the general solution effectively. The solution involves expressing y(t) in terms of the Green's function derived from the operator L.
PREREQUISITESStudents and professionals in applied mathematics, physics, and engineering who are working with differential equations and seeking to understand the application of Green's functions and the Heaviside function in solutions.
Did you find the Green's function? What is the solution y(t) in terms of the Green's function?sassie said:Homework Statement
Find the solution for
L[y]=H(t-pi/2)sint=q(t)
y(0)=0
by using the Green's function.
Homework Equations
The Attempt at a Solution
My problem is that I'm stuck with how to get the Heaviside into the required general solution. Is it anything to do with the fact that the Heaviside function is the integral of the Delta Dirac function? Help. I'm really stuck!