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(Solved): Consider the following initial value problem: y^('')+49y=f(t);,y(0)=0,y^(')(0)=7 f(t)={(7,0<=t&l ...
Consider the following initial value problem:
y^('')+49y=f(t);,y(0)=0,y^(')(0)=7
f(t)={(7,0<=t<(3\pi )/(7)):}
0,(3\pi )/(7)<=t<\infty (a) Sketch the graph of the forcing function on an appropriate interval. (b) Find the solution of the given initial value problem. NOTE: Denote the Heaviside function by
u_(c)(t)where
u_(c)(t)=1if
t>=cand 0 otherwise. licate separately the value of
c.
