TRANSCRIBE THE FOLLOWING TEXT IN DI
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
100%
TRANSCRIBE THE FOLLOWING TEXT IN DIGITAL FORMAT
![Solution :
we
介
consider the given
the given function
x² + 2xy -
find
介
can
Differentiate 0
with
elespect to "x",
d [x² + 2xy = cos(x + y²)] = ₁ (8)
1
-
dx
dx
hp Xe
2x + 2x
807
dy.
dx
_d_ (x²) + d (2xg) _ _d_ (mas (m²)) =
(008
dx
dx
dx
(x+y2)=8
dy
dx
--0
хр
we have
2x + 2 [x. dy + y dx ] - (-ain (x+y²). A = (x+²) = 0
d
dx
dx
: + 2x dy + 2y + x³m (x + y²) [ 1+ 2y. d)]
xin
dx
dx
•: d (c)
=0;
whoa c'- constant
+ 2y + 2 in (x+y ²) + 2y sin (x+y²) dy
[2x+2y + sin(x+y²)] + [³x + 2y ain (x+y²³)
³y
The
2x+ 2y + sin (x+y²)
2x + ³y sin (x+y²)
dx
[2x + 2y sin (x+y²)) = = = (2x +2y + xin (x+3))
dy
dx
=0.
)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4be50db6-19e4-41fe-8b0c-6d619944736f%2F63ef98d8-aea5-4090-9e20-dc9b75ea66bb%2F7kggn9j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solution :
we
介
consider the given
the given function
x² + 2xy -
find
介
can
Differentiate 0
with
elespect to "x",
d [x² + 2xy = cos(x + y²)] = ₁ (8)
1
-
dx
dx
hp Xe
2x + 2x
807
dy.
dx
_d_ (x²) + d (2xg) _ _d_ (mas (m²)) =
(008
dx
dx
dx
(x+y2)=8
dy
dx
--0
хр
we have
2x + 2 [x. dy + y dx ] - (-ain (x+y²). A = (x+²) = 0
d
dx
dx
: + 2x dy + 2y + x³m (x + y²) [ 1+ 2y. d)]
xin
dx
dx
•: d (c)
=0;
whoa c'- constant
+ 2y + 2 in (x+y ²) + 2y sin (x+y²) dy
[2x+2y + sin(x+y²)] + [³x + 2y ain (x+y²³)
³y
The
2x+ 2y + sin (x+y²)
2x + ³y sin (x+y²)
dx
[2x + 2y sin (x+y²)) = = = (2x +2y + xin (x+3))
dy
dx
=0.
)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
