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Chapter 1: Introduction

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Fundamentals Of Differential Equations And Boundary Value Problems
Pages: 1 - 37
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

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Illustration

126 Questions for Chapter 1: Introduction

  1. In Problems 15-24 , solve for Y(s), the Laplace transform of the solution ytto the given initial value problem.

    Found on Page 1

  2. Use Heaviside's expansion formula derived in Problem 40 to determine the inverse Laplace transform of

    Found on Page 1

  3. Find a general solution for the differential equation with x as the independent variable:

    Found on Page 1

  4. Question 10: In Problems, find the power series expansion for f(x)+g(x), given the expansions for f(x) and g(x).

    Found on Page 1

  5. In Problems 9-13, determine whether the given relation is an implicit solution to the given differential equation. Assume that the relationship implicitly defines y as a function of x and use implicit differentiation.

    Found on Page 14

  6. Decide whether the statement made is True or False. The relation siny+ey=x6-x2+x+1 is an implicit solution to dydx=6x5-2x+1cosy+ey.

    Found on Page 1

  7. Question 11: In Problem, find the first three nonzero terms in the power series expansion for the product f(x) g(x).

    Found on Page 1

  8. In Problems 9–13, determine whether the given relation is an implicit solution to the given differential equation. Assume that the relationship implicitly defines y as a function of x and use implicit differentiation.

    Found on Page 14

  9. The initial value problem \[\frac{{{\bf{dx}}}}{{{\bf{dt}}}}{\bf{ = 3}}{{\bf{x}}^{\frac{{\bf{2}}}{{\bf{3}}}}}{\bf{,}}\;{\bf{x(0) = 1}}\] has a unique solution in some open interval around t = 0.

    Found on Page 30

  10. In Problems 9–20, determine whether the equation is exact.

    Found on Page 1

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