Calculus / Fundamentals of Differential Equations 8 / Chapter 4.6 / Problem 19E

Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider

Express the solution to the initial value problem using

Chapter 4, Problem 19E

(choose chapter or problem)

Express the solution to the initial value problem

$y^{\prime \prime}-y=\frac{1}{t}$ , $y(1)=0$ , $y^{\prime}(1)=-2$ ,

using definite integrals. Using numerical integration (Appendix C) to approximate the integrals, find an approximation for $y(2)$to two decimal places.

Equation Transcription:

$y''-y=\frac{1}{t}$

$y(1)=0$

$y'(1)=-2$

$y(2)$

Text Transcription:

y''-y={1}over{t}

y(1)=0

y'(1)=-2

y(2)

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