(x²y³ + 6xy³) dy + (xy² + 3y²) dx + (x+3) dx = 12y³dy; y(2) = 0 4(y²+1) 1²+62 -12 O O O O O d. y = o y² = In = In c. None of the choices is correct. y² = In (y² +1) x²+6x-12 y = In (y²+1) T²+6x-12 + C 4(y²+1) x²+6x-12 + C

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
What is the answer? Show your complete solution. Step-by-step. Provide the cases used. Simplify your final answer without the use of calculator.
Solve the differential equation
(x²y³ + 6xy³) dy + (xy² + 3y²) dx + (x + 3) dx = 12y³dy; y(2) = 0
4(y²+1)
x²+62-12
O
O
Ö
O c.
d.
O
b.
e.
y = In
y² = In
y² = In
None of the choices is correct.
(y² +1)
x²+62-12
Y =
(y² +1)
x²+6x-12
In
+ C
4(y² +1)
x²+6x -12
+ C
Transcribed Image Text:Solve the differential equation (x²y³ + 6xy³) dy + (xy² + 3y²) dx + (x + 3) dx = 12y³dy; y(2) = 0 4(y²+1) x²+62-12 O O Ö O c. d. O b. e. y = In y² = In y² = In None of the choices is correct. (y² +1) x²+62-12 Y = (y² +1) x²+6x-12 In + C 4(y² +1) x²+6x -12 + C
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
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…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,