3. ydx + 2(y-x) dy = 0 as x=y² (c-y²) 4. (y + y + 1) dx + x(x-3y² - 1) dy = 0 ans. y - xy + y + 1 = x 5. y = ax + by + c ans. b²y = C₁ ex-abx-a-bc 6. (2x³y² + 4x²y + 2xy² + xy + 2y) dx + 2(y + x²y + x) dy = 0 ans. (2x2y² + 4xy + y^) exp (x²) = c 7. (x² + y² + x) dx + xy dy = 0 ans. x²(3x² + 4x + 6y²) = c 8. [2xy exp(y) + 2xy + y) dx + [x²y'exp(y)-x³y²-3x) dy = 0 ans. x²y³ exp(y) + x³y² + x = cy³
3. ydx + 2(y-x) dy = 0 as x=y² (c-y²) 4. (y + y + 1) dx + x(x-3y² - 1) dy = 0 ans. y - xy + y + 1 = x 5. y = ax + by + c ans. b²y = C₁ ex-abx-a-bc 6. (2x³y² + 4x²y + 2xy² + xy + 2y) dx + 2(y + x²y + x) dy = 0 ans. (2x2y² + 4xy + y^) exp (x²) = c 7. (x² + y² + x) dx + xy dy = 0 ans. x²(3x² + 4x + 6y²) = c 8. [2xy exp(y) + 2xy + y) dx + [x²y'exp(y)-x³y²-3x) dy = 0 ans. x²y³ exp(y) + x³y² + x = cy³
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
Please answer 3-8 only
Transcribed Image Text:Chapter III. Additional Topics on t
PROBLEM SETS
Obtain the general solution.
dv = 0
3. vdx + 2(y-x) dy = 0
3. x=y² (c- y²)
5. y'= ax + by + c
ans.
4. (y + y + 1) dx + x(x-3y²-1) dy = 0
ans. y - xy + y +1=x
Equations of Order Or
b²y = C₁ ex-abx - a - bc
6. (2x³y² + 4x²y + 2xy² + xy + 2y) dx
+ 2(y + x²y + x) dy = 0
ans. (2x²y² + 4xy + y^) exp (x²) = c
7. (x² + y² + x) dx + xy dy = 0
ans. x² (3x² + 4x + 6y²) = c
8. [2xy exp(y) + 2xy + y) dx
+ [x²y'exp(y)-x²y²-3x) dy = 0
ans. x²y³ exp(y) + x³y² + x = cy³
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 2 images
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,
