MATH 251 Midterm: MATH 251 PSU M251Exam 2(fa02)
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In order to obtain full credit for these prob- lems, all work must be shown. Credit will not be given for an answer not sup- ported by work. The use of calculators is not permitted in this examina- Math 251 -2nd exam: what is the form of the particular solution to the equation y + 4y = e2t + sin(2t) 3 cos(t) + t2 4. 3. (a) sketch the function. f (t) = t u1(t)(t 1) + u3(t)(2 t) Math 251 -2nd exam- (b) write the given function in terms of unit step functions. t2. 6 t 2 t < 6. Page 3 of 8: a mass of 3 kg is attached to a spring with spring constant k = 12 n m . Math 251 -2nd exam: find the laplace transform. Hint:(cid:18) (e t sin(3t) = e t sin(3t) + 3e t cos(3t) (e t sin(3t) = ( 2 + 9)e t sin(3t) + 6 e t cos(3t) (cid:19)
