MATH 240 Midterm: MATH 240 KSU Test 3SoluTest ions14

• School: Kansas State University
• Department: Mathematics
• Course: MATH 240
• Professor: All

Document Summary

Problem 2. (16 pts) solve the following initial value problem, using. X(0) = 2. s2x s 2 + 4(sx 1) + 5x = 0; (s2 + 4s + 5)x = s + 6; X = s + 6 s2 + 4s + 5 (s + 2) + 4 (s + 2)2 + 1 x = e 2t(cos(t) + 4 sin(t)). Problem 3. (16 pts) solve the following initial value problem, using. X = e s s2 + 4s + 3. 2 (cid:19) , x = u(t 1) e1 t e3 3t. Problem 4. (16 pts) solve as a convolution integral (do not evaluate the integral) X 2 x + x = et2 x(0) = x(0) = 0. 3 s2x 2sx + x = l{et2. 0 (t )et + 2 d . Problem 5. (16 pts) find and classify (as stable, unstable or saddle) the equilibria of the system ( x = x2 xy.