Using the substitution y=vxanddy=vdx+xdv, solve the homogeneous differential equation [xsin(-)-y]dx + |dx + xdy=0 y y ℗ x (exe ² - co₁²-) = c A CSC X X ℗ B y y x (exc²-=-=- co₁²-) = y csc X X =C y y © > [exe ² + + cor² =) = c C y csc X X y y ℗ x( cx ² + + CO ² ) = C D X CSC X X
Using the substitution y=vxanddy=vdx+xdv, solve the homogeneous differential equation [xsin(-)-y]dx + |dx + xdy=0 y y ℗ x (exe ² - co₁²-) = c A CSC X X ℗ B y y x (exc²-=-=- co₁²-) = y csc X X =C y y © > [exe ² + + cor² =) = c C y csc X X y y ℗ x( cx ² + + CO ² ) = C D X CSC X X
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
![Using the substitution y=vxanddy=vdx+xdv, solve
the homogeneous differential equation
[xsin(-)-y]dx +
|dx + xdy=0
y
y
℗ x (exe ² - co₁²-) = c
A
CSC
X
X
℗
B
y
y
x (exc²-=-=- co₁²-) =
y csc
X
X
y
© > [exe ² +
C y
X
=C
y
+ cor² =) = c
X
y
y
Ⓒ + x[cx ² + + CO ² ) = C
D X CSC
X
Xx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5ed63272-aed6-484f-acc3-1c85634e54fa%2F23e36130-90e1-47f3-9022-fdef76183277%2Fnf705no_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Using the substitution y=vxanddy=vdx+xdv, solve
the homogeneous differential equation
[xsin(-)-y]dx +
|dx + xdy=0
y
y
℗ x (exe ² - co₁²-) = c
A
CSC
X
X
℗
B
y
y
x (exc²-=-=- co₁²-) =
y csc
X
X
y
© > [exe ² +
C y
X
=C
y
+ cor² =) = c
X
y
y
Ⓒ + x[cx ² + + CO ² ) = C
D X CSC
X
Xx
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