MATH 202 Final, Fall 1995
American University of Beirut · Differential Equations · 1 page
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FINAL EXAMINATION": ;
Prof.N. Haidar FACULTY OF ARTS & SCIENCES, A. vu. B.
. Math. 202 ee : . ~ . Jan.,27, 1996
Time: 2 hours. (ist Semester , 1995- 5-96). + .8:z(closed book)
I. Solve the DE: y' = (x cosy + sinyy"* . _
. . . at an _ i
a Solve the DE: xy by = ydnx | aa okey
Gp) Determine the values of 4 for which the BVP- - os .
H
y+ ay =0; yO) = Yin) =
has nontrivial solutions .
IV. Solve the IVP
VY. Solve the DE: y" - 2y' + 2y-= ct tank.
VI. Apply the method of Frobenius to solve _, Ligtscuderty § y = 0
VIL Solve the DE; xy" + xy + dy a5.
IX, Solve the IVP ia tee
y’ + y = U(t) - 2U(t-1) + Ut 2 i 10% ¥0 <0.
IX. Solve only for z(t) the system of integral edytons,
Hit
| y(t) = t+ j, e™ yu) du + i (ev) a0 av:
er)
Serteegt
ee ELIE TAT
ee Een 3S
Pa aR OE
203
a
3 it