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Chapter 8: Series Solutions of Differential Equations

Expert-verified
Fundamentals Of Differential Equations And Boundary Value Problems
Pages: 421 - 495
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

79 Questions for Chapter 8: Series Solutions of Differential Equations

  1. In Problems 1-10, use the substitution y=xrto find a general solution to the given equation for x>0.

    Found on Page 453

  2. Find at least the first four nonzero terms in a power series expansion about x0 for a general solution to the given differential equation with the given value for x0.

    Found on Page 449

  3. In Problems \(5 - 14\) solve the given linear system.

    Found on Page 489

  4. In Problems 11 and 12, use a substitution of the form to find a general solution to the given equation for x>c.

    Found on Page 453

  5. In Problems 11 and 12, use a substitution of the form to find a general solution to the given equation for x>c.

    Found on Page 453

  6. Find at least the first four nonzero terms in a power series expansion about x0for a general solution to the given differential equation with the given value for x0,

    Found on Page 449

  7. In Problems 13 and 14, use variation of parameters to find a general solution to the given equation for x>0.

    Found on Page 453

  8. Duffing's Equation. In the study of a nonlinear spring with periodic forcing, the following equation arises:

    Found on Page 425

  9. Find at least the first four nonzero terms in a power series expansion of the solution to the given initial value problem,x'+(sint)x=0;x(0)=1

    Found on Page 449

  10. In Problems 13 and 14, use variation of parameters to find a general solution to the given equation for x>0.

    Found on Page 453

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