Consider the following initial value problem:y" + 4y = sint - u2(t) sin(t – 2π); y(0) = 0, y'(0) = 0;(a) Sketch the graph of the forcing function on an appropriate interval.1y(t):4 m/2 3/4 m 5/4 3m/2 7/4 2 9/4 5/2 1/4 3(b) Find the solution of the given initial value problem.NOTE: Denote the Heaviside function by ue(t) where ue(t) = 1 if t≥c and 0 otherwise.Indicate separately the value of c.=where c =XXX

Answered: Image /qna-images/answer/e898dc00-f2d2-43f7-8f8b-0345cf57d70e.jpg

Consider the following initial value problem: y" + 4y = sint − u2(t) sin(t — 2π); y(0)=0, y'(0) = 0; (a) Sketch the graph of the forcing function on an appropriate interval. -1 y(t): m/4 = P (b) Find the solution of the given initial value problem. NOTE: Denote the Heaviside function by uc(t) where uc(t) = 1 if t≥c and 0 otherwise. Indicate separately the value of c. where c = 5/4 3/2 7/4 2 9/4 5/2 1/4 3 X X X

Consider the following initial value problem: y" + 4y = sint − u2(t) sin(t — 2π); y(0)=0, y'(0) = 0; (a) Sketch the graph of the forcing function on an appropriate interval. -1 y(t): m/4 = P (b) Find the solution of the given initial value problem. NOTE: Denote the Heaviside function by uc(t) where uc(t) = 1 if t≥c and 0 otherwise. Indicate separately the value of c. where c = 5/4 3/2 7/4 2 9/4 5/2 1/4 3 X X X

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter14: Discrete Dynamical Systems

Section14.3: Determining Stability

Problem 13E: Repeat the instruction of Exercise 11 for the function. f(x)=x3+x For part d, use i. a1=0.1 ii...

See similar textbooks