Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Solve by separating the variables. 1. = dy 2 dx x(y3+1)* yA * +y- 2 ln|x| = c. Answer. %3D

Solve by separating the variables. 1. = dy 2 dx x(y3+1)* yA * +y- 2 ln|x| = c. Answer. %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question

Only problems 1,3,5,7,9.

IV. Solve by separating the variables. dy 1. dx 2 x(уз +1) Answer. - +y – 2 ln |x| = c. 4 2. e* dx — ydy %3D 0, у(0) %3D —1. Answer. y 3 —V2еx — 1. 3. (x'у? + у?) dx - ух dу %—D 0. +In ]x|+c Answer. y = e 2 c|x|e z (writing eC = c). 4. y' = x²V4 – y2. Answer. y = 2 sin +c), and = ±2. 5. y'(t) = ty (1 + t²)-1/2, y(0) = = 2. Answer. y =- 2V12+1–3 6. (у — ху + х — 1) dx + x? dy %3D 0, yу(1) — 0. 1 e-ex x Answer. y = e 7. х?у?у — у — 1. Answer. +y+ In |y – 1| = + c, and y = 1. 2 8. y' = er*y, y(2) = 1. Answer. y = el et“ dt_ 9. у' 3 ху? + ху, У(0) — 2. x2 2e 2 Answer. y = x2 . 3–2e 2
Transcribed Image Text:IV. Solve by separating the variables. dy 1. dx 2 x(уз +1) Answer. - +y – 2 ln |x| = c. 4 2. e* dx — ydy %3D 0, у(0) %3D —1. Answer. y 3 —V2еx — 1. 3. (x'у? + у?) dx - ух dу %—D 0. +In ]x|+c Answer. y = e 2 c|x|e z (writing eC = c). 4. y' = x²V4 – y2. Answer. y = 2 sin +c), and = ±2. 5. y'(t) = ty (1 + t²)-1/2, y(0) = = 2. Answer. y =- 2V12+1–3 6. (у — ху + х — 1) dx + x? dy %3D 0, yу(1) — 0. 1 e-ex x Answer. y = e 7. х?у?у — у — 1. Answer. +y+ In |y – 1| = + c, and y = 1. 2 8. y' = er*y, y(2) = 1. Answer. y = el et“ dt_ 9. у' 3 ху? + ху, У(0) — 2. x2 2e 2 Answer. y = x2 . 3–2e 2
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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,
SEE MORE TEXTBOOKS