Suppose that y1 (t) and y2 (t) are fundamental solutions of the equation L(y) = 0 and let y3 (t) be a solution of L(y3) = b(t) 0, where L(y) = y" + a1 y + ao y. Choose all the statements below that are correct. The function Y1 + y2 is solution of the homogenous equation L(y) 0. The functions y1 +F c142, for C1 an arbitrary constant, is a general solution of the equation L(y) = 0. The function 7 yı – 7y3 is solution of the homogenous equation L(y) = 0 || O The function 7 y1 + Y3 is solution of the homogenous equation L(y) = b. The functions C1Y1 + C2Y2, for C1, C2 arbitrary constants, is a general solution of the equation L(y) = 0. The function 3 y3 is solution of the homogenous equation L(y) = b. U The function 3 y1 is solution of the homogenous equation L(y) = 0. The function Yı – Y3 is solution of the homogenous equation L(y) = –6. -
Suppose that y1 (t) and y2 (t) are fundamental solutions of the equation L(y) = 0 and let y3 (t) be a solution of L(y3) = b(t) 0, where L(y) = y" + a1 y + ao y. Choose all the statements below that are correct. The function Y1 + y2 is solution of the homogenous equation L(y) 0. The functions y1 +F c142, for C1 an arbitrary constant, is a general solution of the equation L(y) = 0. The function 7 yı – 7y3 is solution of the homogenous equation L(y) = 0 || O The function 7 y1 + Y3 is solution of the homogenous equation L(y) = b. The functions C1Y1 + C2Y2, for C1, C2 arbitrary constants, is a general solution of the equation L(y) = 0. The function 3 y3 is solution of the homogenous equation L(y) = b. U The function 3 y1 is solution of the homogenous equation L(y) = 0. The function Yı – Y3 is solution of the homogenous equation L(y) = –6. -
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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Transcribed Image Text:Suppose that y1 (t) and y2 (t) are fundamental solutions of the equation
L(y)
= 0 and let y3 (t) be a solution of L(y3) = b(t) 0, where
L(y) = y' + a1 y + ao y.
Choose all the statements below that are correct.
The function Y1 + y2 is solution of the homogenous equation L(Y)
0.
The functions &y1 + c1Y2, for C1 an arbitrary constant, is a general solution
of the equation L(y) = 0.
The function 7 yı – 7y3 is solution of the homogenous equation L(y) = 0
U The function 7 y1 + Y3 is solution of the homogenous equation L(y) = b.
The functions C1Y1 + C2Y2, for C1, C2 arbitrary constants, is a general
solution of the equation L(y) = 0.
The function 3 y3 is solution of the homogenous equation L(y) = b.
U The function 3 y1 is solution of the homogenous equation L(y) = 0.
The function Yı – Y3 is solution of the homogenous equation L(y) = –6.
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