DIFFERENTIAL EQUATIONS EXAM QUESTIONS WIT ALL CORRECT ANSWERS 2 Exam (elaborations) DIFFERENTIAL EQUATIONS EXAM QUESTIONS WITH ALL CORRECT ANSWERS 3 Exam (elaborations) DIFFERENTIAL EQUATIONS EXAM TEST BANK QUESTIONS WITH CORRECT DETAILED ANSWERS 4 Exam (elaborations) DIFFERENTIAL EQUATIONS STUD...
[Show more]
DIFFERENTIAL EQUATIONS EXAM QUESTIONS WIT ALL CORRECT ANSWERS Two questions arise when approaching a DE - Answer-Does it have a solution and is it unique? In the logistic model for population growth dP/dt=P(8-2P), the carrying capacity of the population is - Answer-k=a/b so in this case, 4 W...
Preview 2 out of 5 pages
Add to cartDIFFERENTIAL EQUATIONS EXAM QUESTIONS WIT ALL CORRECT ANSWERS Two questions arise when approaching a DE - Answer-Does it have a solution and is it unique? In the logistic model for population growth dP/dt=P(8-2P), the carrying capacity of the population is - Answer-k=a/b so in this case, 4 W...
DIFFERENTIAL EQUATIONS EXAM QUESTIONS WITH ALL CORRECT ANSWERS What is a phase line? - Answer-A simplified slope field for autonomous equations. In an autonomous equation, what does the slope look like? Why? - Answer-The slope field is constant along horizontal lines, because it doesn't depend...
Preview 1 out of 4 pages
Add to cartDIFFERENTIAL EQUATIONS EXAM QUESTIONS WITH ALL CORRECT ANSWERS What is a phase line? - Answer-A simplified slope field for autonomous equations. In an autonomous equation, what does the slope look like? Why? - Answer-The slope field is constant along horizontal lines, because it doesn't depend...
DIFFERENTIAL EQUATIONS EXAM TEST BANK QUESTIONS WITH CORRECT DETAILED ANSWERS (y^2 + yx)dx - (x^2)dy = 0 - Answer-homogeneous 1/2x^2 + x/y = c (x+y)dx + (x)dy = 0 - Answer-homogeneous c = 1/2x^2 + 1/2ln(2(y/x)+1) (y^2 + yx)dx + (x^2)dy = 0 - Answer-homogeneous c = ln(x) + 1/2ln(y/x) - ln((y/x)+2...
Preview 1 out of 4 pages
Add to cartDIFFERENTIAL EQUATIONS EXAM TEST BANK QUESTIONS WITH CORRECT DETAILED ANSWERS (y^2 + yx)dx - (x^2)dy = 0 - Answer-homogeneous 1/2x^2 + x/y = c (x+y)dx + (x)dy = 0 - Answer-homogeneous c = 1/2x^2 + 1/2ln(2(y/x)+1) (y^2 + yx)dx + (x^2)dy = 0 - Answer-homogeneous c = ln(x) + 1/2ln(y/x) - ln((y/x)+2...
DIFFERENTIAL EQUATIONS STUDY QUESTIONS WITH COMPLETE SOLUTIONS GRADED A+ What is the existence and uniqueness thm for non linear DEs? - Answer-Let f(t,y) and partial[f(t,y)]/partial y be continuous on some rectangular region a < t < b, c < y < d. Let (t0, y0) be a point in the rectangu...
Preview 1 out of 4 pages
Add to cartDIFFERENTIAL EQUATIONS STUDY QUESTIONS WITH COMPLETE SOLUTIONS GRADED A+ What is the existence and uniqueness thm for non linear DEs? - Answer-Let f(t,y) and partial[f(t,y)]/partial y be continuous on some rectangular region a < t < b, c < y < d. Let (t0, y0) be a point in the rectangu...
DIFFERENTIAL EQUATIONS 2024 TEST QUESTIONS WITH CORRECT DETAILED ANSWERS UPDATED Polynomial - Answer-Comes from poly- (meaning "many") and -nomial (in this case meaning "terms"...so it says "many terms" What can have constants, variables, and exponents but never division by ...
Preview 2 out of 6 pages
Add to cartDIFFERENTIAL EQUATIONS 2024 TEST QUESTIONS WITH CORRECT DETAILED ANSWERS UPDATED Polynomial - Answer-Comes from poly- (meaning "many") and -nomial (in this case meaning "terms"...so it says "many terms" What can have constants, variables, and exponents but never division by ...
PARTIAL DIFFERENTIAL EQUATIONS EXAM QUESTIONS WITH 100% CORRECT ANSWERS (VERIFIED ANSWERS) What is the derivative of a Fourier series f(x) ? When does this hold?(2) - Answer-f'(x) = ∑[(-n.π.a_n/L)*sin(nπx/L) + (n.π.b_n/L)*cos(nπx/L)] This only holds when: (1) f(x) is continuous everywhe...
Preview 2 out of 13 pages
Add to cartPARTIAL DIFFERENTIAL EQUATIONS EXAM QUESTIONS WITH 100% CORRECT ANSWERS (VERIFIED ANSWERS) What is the derivative of a Fourier series f(x) ? When does this hold?(2) - Answer-f'(x) = ∑[(-n.π.a_n/L)*sin(nπx/L) + (n.π.b_n/L)*cos(nπx/L)] This only holds when: (1) f(x) is continuous everywhe...
Preview 1 out of 4 pages
Add to cart
DIFFERENTIAL EQUATIONS 2024 TEST BANK QUESTIONS WITH ANSWERS GRADED A+ Linearisation Theorem - Answer-Suppose y_0 is an equilibrium point of an autonomous differential equation where f(y) is continuously differentiable, then if f'(y_0)<0 then y_0 is a sink and if f'(y_0)>0 then y_0 is ...
Preview 1 out of 4 pages
Add to cartDIFFERENTIAL EQUATIONS 2024 TEST BANK QUESTIONS WITH ANSWERS GRADED A+ Linearisation Theorem - Answer-Suppose y_0 is an equilibrium point of an autonomous differential equation where f(y) is continuously differentiable, then if f'(y_0)<0 then y_0 is a sink and if f'(y_0)>0 then y_0 is ...
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
You can quickly pay through EFT, credit card or Stuvia-credit for the summaries. There is no membership needed.
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Stuvia is a marketplace, so you are not buying this document from us, but from seller victoryguide. Stuvia facilitates payment to the seller.
No, you only buy this summary for R909,49. You're not tied to anything after your purchase.
4.6 stars on Google & Trustpilot (+1000 reviews)
66579 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy summaries for 14 years now