If r(t) satisfies the initial value problem x"+2px' + (p² + 1)x = d(t − 2π), - then show that x(0)=0, x'(0) = vo. x(t) =
Posted: Sat Jul 09, 2022 2:26 pm
If r(t) satisfies the initial value problem x"+2px' + (p² + 1)x = d(t − 2π), - then show that x(0)=0, x'(0) = vo. x(t) = (vo+ e²u(t - 2n))e-pt sint. Here & denotes the Dirac delta function and u denotes the Heaviside step function as in the textbook.