Question: a) Use the Laplace transform on the second order ODE, y (t) + ay'(t) + by(t) = q(t), y(0) = u, y'(0) = v,
a) Use the Laplace transform on the second order ODE, y" (t) + ay'(t) + by(t) = q(t), y(0) = u, y'(0) = v, a, b e R, > to show that u(s + a) + v + L(q(t)) Y(s) := L(y(t)) = a? (s + ) + b 4 b) Show that Y (s) in the previous point can be written as, s+ L(q(t)) 1 Z(s) = u- (s + ) + (b 4) (s + ) + (b- (s + ) + (b $)' and solve the problem when q(t) = 0.
Step by Step Solution
★★★★★
3.33 Rating (147 Votes )
There are 3 Steps involved in it
1 Expert Approved Answer
Step: 1 Unlock
gct a y by y6u Yu Taking Lapla... View full answer
Question Has Been Solved by an Expert!
Get step-by-step solutions from verified subject matter experts
Step: 2 Unlock
Step: 3 Unlock
Study Help