Consider the first order differential equation y'+ ez x2 - 16 x-9 For each of the initial conditions below, determine the largest intenrala

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
Question
Consider the first order differential equation y' +
x2 16
x -9
For each of the initial conditions below, determine the largest interval a < x <b on which the
existence and uniqueness theorem for first order linear differential equations guarantees the
existence of a unique solution.
(a) y(-6) = -0.5 Interval =
(b) y(-0.5)= -4 Interval
(c) y(0) = 0 =→ Interval =
(d) y(4.5) 6.4 Interval
(e) y(13) = 1.7 Interval
%3D
%3D
help (inequalities)
Transcribed Image Text:Consider the first order differential equation y' + x2 16 x -9 For each of the initial conditions below, determine the largest interval a < x <b on which the existence and uniqueness theorem for first order linear differential equations guarantees the existence of a unique solution. (a) y(-6) = -0.5 Interval = (b) y(-0.5)= -4 Interval (c) y(0) = 0 =→ Interval = (d) y(4.5) 6.4 Interval (e) y(13) = 1.7 Interval %3D %3D help (inequalities)
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