Page 173 - Schaum's Outline of Differential Equations
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++156 REDUCTION OF LINEAR DIFFERENTIAL EQUATIONS [CHAP. 17
1
17.13. y + 5y - 2ty = i + 1; y(G) = 11, y(0) = 12
17.14. -y + 5y + 6y = 0
17.15. e"x-tx + x-e'x = Q;
jc(-l) = 1, jc(-l) = 0, jc(-l) = 1
17.17. x = t; x(0) = 0, i(0) = 0, jc(0) = 0
17.18. x = x + y-z + t
2
y = tx + y-2y + t +l
Z = x-y + y + z;
x(l) = 1, i(l) = 15, y(l) = 0, y(l) = - 7, z(l) = 4
17.19. x = 2x + 5y + 3
y = -x-2y;
x(0) = 0, i(0) = 0, y(0) = 1
17.20. x = x + 2y
y = 4x + 3y;
x(7) = 2,y(7) = -3
