• :00Days
  • :00Hours
  • :00Mins
  • 00Seconds
A new era for learning is coming soonSign up for free
Log In Start studying!

Select your language

Suggested languages for you:
Deutsch (DE)
Deutsch (UK)
Deutsch (US)

Americas

Europe

Answers without the blur. Sign up and see all textbooks for free! → Illustration

Chapter 5: Introduction to Systems and Phase Plane Analysis

Expert-verified
Fundamentals Of Differential Equations And Boundary Value Problems
Pages: 241 - 318
Fundamentals Of Differential Equations And Boundary Value Problems

Fundamentals Of Differential Equations And Boundary Value Problems

Book edition 9th
Author(s) R. Kent Nagle, Edward B. Saff, Arthur David Snider
Pages 616 pages
ISBN 9780321977069

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later
Illustration

153 Questions for Chapter 5: Introduction to Systems and Phase Plane Analysis

  1. Find all the critical points of the system

    Found on Page 271

  2. Prove that the infected population I(t)in the SIR model does not increase if S(0) is less than or equal to \(\frac{{\bf{k}}}{{\bf{a}}}\).

    Found on Page 282

  3. Find a system of differential equations and initial conditions for the currents in the networks given in the schematic diagrams (Figures \({\bf{5}}{\bf{.39 - 5}}{\bf{.42}}\) on pages\({\bf{294 - 295}}\)). Assume that all initial currents are zero. Solve for the currents in each branch of the network.

    Found on Page 294

  4. To show that the limit set of the Poincare map given in \(\left( {\bf{3}} \right)\) depends on the initial values, do the following:

    Found on Page 304

  5. In Problems 10–13, use the vectorized Euler method with = 0.25 to find an approximation for the solution to the given initial value problem on the specified interval.

    Found on Page 259

  6. In Problems 3 – 18, use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t.

    Found on Page 249

  7. Write the given higher-order equation or system in an equivalent normal form (compare Section\({\bf{5}}{\bf{.3}}\)).

    Found on Page 306

  8. An epidemic reported by the British Communicable DiseaseSurveillance Center in the British Medical Journal (March 4, 1978, p. 587) took place in a boarding school with 763 residents. The statistics for the infected population are shown in the graph in Figure 5.25.

    Found on Page 282

  9. In Problems 3 – 18, use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t.

    Found on Page 249

  10. Find all the critical points of the system

    Found on Page 271

Related Math Textbooks with Solutions

View all the textbook solutions in Math

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.