2e* Y+ 3x -2 1 (b) Y' = 1 Y (0) = 0, %3D %3D -2)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Hello, This is a question of Ordinary differential Equation. 

Please solve num 3 b specifically. Other questions are up to you if you could help to solve them. Would appreciate it. Thank you in advance.

Find the general solution for non-homogeneous system of first-order
linear differential equations by
(i) method of undetermined coefficients,
1.
(ii) variation of parameter.
(b)
(a) =-3y -4y, +5e"
y = 5y, +6y, - 6e*
3
Y' =
2
2e
Y +
-1
Find the particular solution for non-homogeneous system of first-order
linear differential equations by
(i) method of undetermined coefficients,
(ii) variation of parameter.
where y,(0) = 0
(a) y = y, + e* where y,(0) = 1 (b) y = 4y2
V = y - 3e**
Y2 = 4y, +32x
y,(0) = 3
V2(0) = 2
%3D
Solve the following non-homogeneous system of first-order linear
differential equations by method of undetermined coefficients.
(a) y = 5y, +4y, - 5x? + 6x + 25
= , + 2y, -x +2x + 4
3.
where y,(0) = 0, y,(0) = 0
-2
1
2e
Y +
3x
(b) Y' =
Y (0) = 0
- 2,
4.
Find the general solution for the system below by variation of parameter.
y = 2y, +3y, - 2e
y = -y, - 2y;
1.
2.
Transcribed Image Text:Find the general solution for non-homogeneous system of first-order linear differential equations by (i) method of undetermined coefficients, 1. (ii) variation of parameter. (b) (a) =-3y -4y, +5e" y = 5y, +6y, - 6e* 3 Y' = 2 2e Y + -1 Find the particular solution for non-homogeneous system of first-order linear differential equations by (i) method of undetermined coefficients, (ii) variation of parameter. where y,(0) = 0 (a) y = y, + e* where y,(0) = 1 (b) y = 4y2 V = y - 3e** Y2 = 4y, +32x y,(0) = 3 V2(0) = 2 %3D Solve the following non-homogeneous system of first-order linear differential equations by method of undetermined coefficients. (a) y = 5y, +4y, - 5x? + 6x + 25 = , + 2y, -x +2x + 4 3. where y,(0) = 0, y,(0) = 0 -2 1 2e Y + 3x (b) Y' = Y (0) = 0 - 2, 4. Find the general solution for the system below by variation of parameter. y = 2y, +3y, - 2e y = -y, - 2y; 1. 2.
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