Let c, and c2 be constants. Then, in which of the followings the indicated family of functions does not satisfy the given differential equation? O dw + 9w = 0; w= cje' + c2 sin(3t) %3D dt2 O u" + 4u = 0; u = cq sin 2x + C2 cos 2x = C1 %3D Oo dy - 2+y = 0; y = cje* + c2xe" dy da? dx O (1 – x cot a) z" – xz + z = 0; 2 = C¡ sin x + C2x %3D O dy - y = 2 (1 – x) ; y= 2x+cje* dx
Let c, and c2 be constants. Then, in which of the followings the indicated family of functions does not satisfy the given differential equation? O dw + 9w = 0; w= cje' + c2 sin(3t) %3D dt2 O u" + 4u = 0; u = cq sin 2x + C2 cos 2x = C1 %3D Oo dy - 2+y = 0; y = cje* + c2xe" dy da? dx O (1 – x cot a) z" – xz + z = 0; 2 = C¡ sin x + C2x %3D O dy - y = 2 (1 – x) ; y= 2x+cje* dx
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:Let c and c2 be constants. Then, in which of the followings the indicated
family of functions does not satisfy the given differential equation?
O d'w
+ 9w = 0; w = cje' + c2 sin(3t)
dt?
O u' + 4u = 0;
u = cq sin 2x + c2 cos 2.x
O d'y
dy
2-
+ y = 0; y = cie* + c2xe*
dx
dx2
O (1- x cot a) z" – xz + = 0; 2 = C¡ sin a + c2x
dy
- y = 2 (1 – x); y= 2x +cje*
dx
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