Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. 1.) (10pts) consider the following differential eq

1.) (10pts) Consider the following differential equation: (x^2)(dy/dx)=2x(sqrt(y))+(x^3)(sqrt(y)) a)Determine whether the equation is separable (S), linear (L), autonomous...

70.2K

Verified Solution

Question

Advance Math

1.) (10pts) Consider the following differential equation:(x^2)(dy/dx)=2x(sqrt(y))+(x^3)(sqrt(y))

a)Determine whether the equation is separable (S), linear (L),autonomous (A), or non-linear (N). (An equation could be more thanone of these types.)

b)Identify the region of the plane where the Chapter 1 Existenceand Uniqueness Theorem guarantees a unique solution exists at aninitial condition (x0, y0).

2.(12pts) Consider the IVP: y'+y=y/t , y(2) = 0

For each of the functions y1(t)and y2(t)below, decide if it is a solution of the IVP. (Answer is Yes or No,but show, or explain, briefly how you decided for each.)

(a) y1(t)=te-1

(b) y2(t)= t-2

Answer & Explanation Solved by verified expert
4.1 Ratings (699 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

Psychology
1.2K views

In two complete paragraphs (5-8 sentences each), explain why doctors may not be comfortable labeling children...

Biology
1.2K views

of factors abiotic factors and biotic factors Both types contribute to the type and number...

Physics
1.2K views

2 A bob is suspended by means of a light string of length from a...

Algebra
1.2K views

Four times a number, subtracted from nine, is twice the number. Find the number.The number...

Algebra
1.2K views

plify by factoring 3 63 Type an exact answer using radicall

Accounting
1.2K views

Assume an individual is in the 29% tax bracket. For this individual, an additional $140...

Accounting
1.2K views

For the most effective internal control, monthly bank statements should be received directly from the...

Accounting
1.2K views

Sales, Production, Direct Materials Purchases, and Direct Labor Cost Budgets The budget director of Gourmet...

Accounting
1.2K views

Seventy-Two Inc., a developer of radiology equipment, has stock outstanding as follows: 80,000 shares of...

Accounting
1.2K views

what is the history of income smoothing and how start practices ?

Finance
1.2K views

AFN EQUATION a Carlsbad Corporation's sales are expected to increase from $5 million in 2016...

Finance
1.2K views

Which of the following is true with regards to statistical analysis? Bivariate analysis is a...