Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 11E
Related questions
Question
Topic: Exact DE
please answer number 28
![= 1.
24. (1 − xy)−² dx + [y² + x²(1 − xy)¯²] dy = 0; when x = 4, y =
ANS. xy4y³ + 3xy − 3x − 3 = 0.
25. (ye*y – 2y³) dx + (x ex − 6xy² – 2y) dy = 0; when x = 0, y = 2.
ANS. exy = 2xy³ + y² – 3.
26. (3 + y + 2y² sin² x) dx + (x + 2xy − y sin 2x) dy = 0.
ANS. y² sin 2x = c + 2x(3 + y + y²).
27. 2x[3x + y − y exp (−x²)] dx + [x² + 3y² + exp(-x²)] dy = 0.
28. (xy² + x - 2y + 3) dx + x²y dy = 2(x + y) dy; when x
ANS. (xy — 2)² + (x + 3)² = 2y² + 15.
ANS. x²y + y² + 2x³ + y exp (− x²) = c.
1, y = 1.
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd71a618d-9836-464b-8c0a-0a2658aa9dd0%2F00715703-fe00-4a54-9650-5e8af8ffcd34%2Fdnl83xd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:= 1.
24. (1 − xy)−² dx + [y² + x²(1 − xy)¯²] dy = 0; when x = 4, y =
ANS. xy4y³ + 3xy − 3x − 3 = 0.
25. (ye*y – 2y³) dx + (x ex − 6xy² – 2y) dy = 0; when x = 0, y = 2.
ANS. exy = 2xy³ + y² – 3.
26. (3 + y + 2y² sin² x) dx + (x + 2xy − y sin 2x) dy = 0.
ANS. y² sin 2x = c + 2x(3 + y + y²).
27. 2x[3x + y − y exp (−x²)] dx + [x² + 3y² + exp(-x²)] dy = 0.
28. (xy² + x - 2y + 3) dx + x²y dy = 2(x + y) dy; when x
ANS. (xy — 2)² + (x + 3)² = 2y² + 15.
ANS. x²y + y² + 2x³ + y exp (− x²) = c.
1, y = 1.
=
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 3 steps with 3 images
Recommended textbooks for you
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,