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Exercise 3C 1. linear differential equations by i) method of undetermined coefficients, (ii) variation of parameter. (a) =-3y,-4y + 5e = 5y, +6y, -6e" (b) Y' = 2e Y+ 2 -1 e

Exercise 3C 1. linear differential equations by i) method of undetermined coefficients, (ii) variation of parameter. (a) =-3y,-4y + 5e = 5y, +6y, -6e" (b) Y' = 2e Y+ 2 -1 e

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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****. Exercise 3C 1. linear differential equations by ) method of undetermined coefficients, (ii) variation of parameter. (a) =-3y, -4y, +5e" = 5y, +6y, -6e" (b) Y' = 3 2e* Y+ -2 -1) 2. Find the particular solution for non-homogeneous system of first-order linear differential equations by () method of undetermined coefficients, (ii) variation of parameter. (a) y = y, +e* where y,(0) = 1 (b) y 4y, = y,- 3e where y (0) = 0 y(0) = 2 y = 4y, +32x y, (0) = 3 Solve the following non-homogeneous system of first-order linear 3. differential equations by method of undetermined coefficients. (a) y 5y, +4y2-5x +6x +25 y = y + 2y, -x + 2x+ 4 (-2 (b) Y'= where y,(0) 0, y,(0) = 0 1 2e Y+ Y (0) = 0 1 -2 3x
Transcribed Image Text:****. Exercise 3C 1. linear differential equations by ) method of undetermined coefficients, (ii) variation of parameter. (a) =-3y, -4y, +5e" = 5y, +6y, -6e" (b) Y' = 3 2e* Y+ -2 -1) 2. Find the particular solution for non-homogeneous system of first-order linear differential equations by () method of undetermined coefficients, (ii) variation of parameter. (a) y = y, +e* where y,(0) = 1 (b) y 4y, = y,- 3e where y (0) = 0 y(0) = 2 y = 4y, +32x y, (0) = 3 Solve the following non-homogeneous system of first-order linear 3. differential equations by method of undetermined coefficients. (a) y 5y, +4y2-5x +6x +25 y = y + 2y, -x + 2x+ 4 (-2 (b) Y'= where y,(0) 0, y,(0) = 0 1 2e Y+ Y (0) = 0 1 -2 3x
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