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405q1 - MATH 405 Quiz 1 Name 1 The differential equation...

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Unformatted text preview: MATH 405: Quiz 1 Name: September 15, 2006 1. The differential equation for the current I(t) in a circuit involving an inductor L, a resistance R, and a capacitance C is: LI + RI + 1 I=0 C Derive the condition on L, R, and C such that the current will oscillate. 2. Find a general solution y(x) for the following differential equation: (5x2 D2 - xD + 3I)y = 0 ...
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