Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. 5. consider the differential equation xy^5/2 +1+x^

5. Consider the differential equation xy^5/2 +1+x^2y^3/2dy/dx =0 (a) Show that this differential equation is not exact. (b)...

50.1K

Verified Solution

Question

Basic Math

5. Consider the differential equation

xy^5/2 +1+x^2y^3/2dy/dx =0

  1. (a) Show that this differential equation is not exact.

  2. (b) Find a value for the constant a such that, when you multiplythe d.e. through by xa, it becomes exact. Show your working. Do NOTsolve the resulting differential equation.

6. Consider the differential equation

(D − 3)(D − 4)y = 0.

  1. (a) Solve this d.e., showing brief working.

  2. (b) How many solutions does this d.e. have? Justify youranswer.

  3. (c) How many independent solutions does this d.e. have? Providea calculation to justify your answer.

Answer & Explanation Solved by verified expert
4.1 Ratings (829 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Medical Sciences
1.2K views

How are contercurrent mechanisms involved in osmoregulation?

Medical Sciences
1.2K views

minimum 1 reference please define Vasectomy and Tubal Ligation and explain the pro's and con's for...

Biology
1.2K views

Humans produce [?] gametes thatcombine to form a [ ] zygote.A. haploidB. asexualC. diploid

Basic Math
1.2K views

X 0 y 0 1 3x 6y 18 y 0 2 4x y 8 3...

Basic Math
1.2K views

A ladder 35 feet in length rests against a vertical wall. The foot of the...

Statistics
1.2K views

Listed below are the overhead widths in cm of seals measured from photographs and the...

Accounting
1.2K views

Suppose a company has a sale of Rs. 200,000 for the year. The cost structure...

Accounting
1.2K views

Mike Samson is a college football coach making a base salary of $648,000 a year...

Accounting
1.2K views

5) Calculate PED for the 3 & 4-start hotel rooms in Dubai. What should Tourism...

Accounting
1.2K views

On January 1, 2013, Smith Co. had the following balances: Projected benefit obligation 4,200,000 Fair...

Accounting
1.2K views

The risk-preference problem as a source of the agency problem is the idea that: A....

Accounting
1.2K views

HomeLife Life Insurance Company has two service departments (actuarial and premium rating) and two production...