2 ln (1+√√y) = 2 ln (1+√√x) + In C n{(1 + √y)²} = ln {C(1 + √@)²}
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
I do not understand what they did from the first to second line
![2 ln (1 + √y) = 2 ln (1+√√x) + In C
In { (1 + √y)²} = ln {C(1 + √π)²}
(1 + √y)² = C(1 + √√x) ²
1+√y = C₁ (1+√x)
Further, simplify the above equation,
√y = C₁ (1+√√x) – 1
= [C₁ (1 + √√x) − 1]²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F21e8b9dc-8a46-44e8-b3f1-f32e58de6fd1%2F7481e4d5-a2e9-4ef8-96f1-96d3f9be144f%2F2nk312p_processed.png&w=3840&q=75)
Transcribed Image Text:2 ln (1 + √y) = 2 ln (1+√√x) + In C
In { (1 + √y)²} = ln {C(1 + √π)²}
(1 + √y)² = C(1 + √√x) ²
1+√y = C₁ (1+√x)
Further, simplify the above equation,
√y = C₁ (1+√√x) – 1
= [C₁ (1 + √√x) − 1]²
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
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
I unfortunately do not follow. How does ln turn into log?
Solution
by Bartleby ExpertRecommended 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,
