5. (Continuity with respect to initial conditions.) Let (t, xo) be the solution of the initial value problem (1). Use the Fundamental Theorem to show that for each fixed t E R limy-x (t,y) = (t, xo)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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5. Continuity with respect to initial conditions.) Let (t, xo) be the solution of the initial
value problem (1). Use the Fundamental Theorem to show that for each fixed t E R
limy-x (t,y) = (t, xo)
Transcribed Image Text:5. Continuity with respect to initial conditions.) Let (t, xo) be the solution of the initial value problem (1). Use the Fundamental Theorem to show that for each fixed t E R limy-x (t,y) = (t, xo)
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