Which of the following is the Euler (Cauchy) differential equation whose general solution is y = c,cos(In(x)) +c, sin(In(x)) ? %3D a) r+y= 0 ty=0 b) r+ x+ 2y = 0 c) x- x +y = 0 d)x'+x+y = 0 d'y dx dx

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Which of the following is the Euler (Cauchy) differential equation whose
general solution is y = e, cos(In(x)) + C, sin(In(x)) ?
a) x
+y=0
b) x² +x + 2y = 0
dx2
e)r-+y = 0
d) x+x +y= 0
dx
e) x
2d'y
dx
dx
Transcribed Image Text:Which of the following is the Euler (Cauchy) differential equation whose general solution is y = e, cos(In(x)) + C, sin(In(x)) ? a) x +y=0 b) x² +x + 2y = 0 dx2 e)r-+y = 0 d) x+x +y= 0 dx e) x 2d'y dx dx
Which of the following is the general solution of the differential equation
ху" - у' - 17
a) cx + 2c,y = 0
b) y =q tqx
c) y = C,x + Cz
d) y = c, + c,x? + e*
e) y = c; + cz–+:
Transcribed Image Text:Which of the following is the general solution of the differential equation ху" - у' - 17 a) cx + 2c,y = 0 b) y =q tqx c) y = C,x + Cz d) y = c, + c,x? + e* e) y = c; + cz–+:
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