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MTH 205-Soultion -Test01-June 25 2008

# MTH 205-Soultion -Test01-June 25 2008 - 1 Solve the...

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Unformatted text preview: 1. Solve the differential equation: Sate-Than: X+Q 3. Solve the following differential equation: 1 Edy + gemsmsinxdcc = 0. 4. An electromotive force __ 51/0313, ostgl, Em"{ 0Vozts, t>1, is applied to an LR series circuit in which the inductance is 5 henries and the resistance is 10 ohms. Find the current i(t) if z’(0) = 0. Lgﬁ-H’x'x -: am \6/> 5. Solve the following initial value problem: tzy’ + 2:3; * y3 = 0 yd) = 1- © 6. Consider the following differential equation: @ ﬁg = 22:2 + 433; + 9'2. (11: A. Determine whether the existence theorem guarantees that the differential equation possesses a unique solution through the point (1‘ O). i B. Solve the differential equation. ‘ G x} “C’M‘QW Lt“: Ut—t—L :) :ux In Ema—“H A, I 2X “ Q 4? x fi'l‘“ '-= 2-4—4411 +q x. u a e» ln\“*‘\ mwcl “*2... :l “H :_ QX\ => u+l = C‘KUi-ZCK é?“(\"cﬂzmx “H. ex?“ x __ :3 __ 23X =3 —_-f_.__ 2 hicxk Q T “F l—CX m ...
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MTH 205-Soultion -Test01-June 25 2008 - 1 Solve the...

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