The differential equation for the family of curves y = Cx – 4 is 2y + 8 %3D ху Find the family of orthogonal trajectories. a) Ox? + 2y – 161In(y) = C b) Ox + 2y + 16 In(y) = C 16 c) Ox2 + 2y + = C y d) Ox? + 2y² + 32 = C - e) Ox + 2y?. 16 = C y f) O None of the above.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The differential equation for the family of curves y = Cx* – 4 is
2y + 8
%3D
ху
Find the family of orthogonal trajectories.
a) Ox? + 2y – 16 In(y) = C
b) Ox + 2y + 16 ln(y) = C
16
c) Ox2 + 2y + = C
y
32
d) Ox? + 2y² +
= C
-
Ox² + 2y?.
16
= C
y
e)
f) O None of the above.
Transcribed Image Text:The differential equation for the family of curves y = Cx* – 4 is 2y + 8 %3D ху Find the family of orthogonal trajectories. a) Ox? + 2y – 16 In(y) = C b) Ox + 2y + 16 ln(y) = C 16 c) Ox2 + 2y + = C y 32 d) Ox? + 2y² + = C - Ox² + 2y?. 16 = C y e) f) O None of the above.
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