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Universities » University of Georgia (UGA) » MATH - Mathematics » 2310H - INT CALC (HONORS) » Lecture Notes

Lecture Notes for MATH 2310H - INT CALC (HONORS) at Georgia (UGA)

Assignment Information

Material Type:Assignment
Professor:Staff
Class:MATH 2310H - INT CALC (HONORS)
Subject:Mathematics
University:University of Georgia
Term:Fall 2002
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Math 2310H, Diff Eq Problems, Fall 2002 Questions (Find the general solution to the first four problems using the metho d of undetermined coefficien ts, and a particular solution to the last two using the metho d of variation of parameters) 1. y00 + y0 ¡ 2y = 2x; y(0) = 0; y0(0) = 1: 2. 2y00 ¡ 4y0 ¡ 6y = 3e2x: 3. y00 + 2y0 = 3 + 4 sin(2 x): 4. y00 + 2y0 + y = ex cos x: 5. y00 ¡ y0 ¡ 2y = 2e¡x: 6. y00 + 2y0 + y = 3e¡x: Solutions 1.y = ex ¡ 12e¡2x ¡ x ¡ 12: 2. y = C1e3x + C2e¡x ¡ 12e2x: 3. y = C1 + C2e¡2x + 32x ¡ 12 sin(2 x) ¡ 12 cos(2 x): 4. y = C1e¡x + C2xe¡x + 125 ex(3 cos( x) + 4 sin( x)): 5. y = ¡23xe¡x: 6. y = 32x2e¡x: 1 ...
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