a When reduced to a linear DE of order one in z, the Bernoulli's equation dx becomes dz A + z( − 1) = 3x² dx dz 1 B +z- -z (-²) = - = - 3x² dx dz 1 Ⓒd²+¹)=3x² D dz dx + z( 1 ) = 12 ) = − 3x² X √( ² ) = 3x²y² +y

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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Question
a
When reduced to a linear DE of order one in z, the Bernoulli's equation
dx
becomes
dz
A
+ z( − 1) = 3x²
dx
dz
B
- 2 ( - 1²) = -3
- 3x²
dx
X
dz
1
+z=
= 3x²
dx
X
dz
+ z( ² ) =
= - 3x²
dx
D
√( ² ) = 3x²y²
+y
Transcribed Image Text:a When reduced to a linear DE of order one in z, the Bernoulli's equation dx becomes dz A + z( − 1) = 3x² dx dz B - 2 ( - 1²) = -3 - 3x² dx X dz 1 +z= = 3x² dx X dz + z( ² ) = = - 3x² dx D √( ² ) = 3x²y² +y
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