***** See if the Theorem 1.1 defines the DiffyQ::: dy/dx = Vy² – 4 and proves a specific point (1,3) which is the unique solution. Show the region that promises the Theorem 1.1 **** All steps and rules are asked as to how one can learn with only bits and parts? Please show all work.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let R be a rectangular region in the xy-plane defined by a s x « b, csysd that contains the
point (xo, Yo) in its interior. If f(x, y) and
Əf
are continuous on R, then there exists some
interval Io: xo - h < x < xo + h, h > 0, contained in a s x < b, and a unique functions y(x),
defined on Io, that is a solution of DE: Y = f(x, y) , IC: y(xo) = yo.
dx
Note: Check to see on what interval f(x, y) and
of
are continuous.
Check to see if the IC: (xo, yo) is in that interval.
Transcribed Image Text:Let R be a rectangular region in the xy-plane defined by a s x « b, csysd that contains the point (xo, Yo) in its interior. If f(x, y) and Əf are continuous on R, then there exists some interval Io: xo - h < x < xo + h, h > 0, contained in a s x < b, and a unique functions y(x), defined on Io, that is a solution of DE: Y = f(x, y) , IC: y(xo) = yo. dx Note: Check to see on what interval f(x, y) and of are continuous. Check to see if the IC: (xo, yo) is in that interval.
***** See if the Theorem 1.1 defines the DiffyQ::: dy/dx =
4
and proves a specific point (1,3)
which is the unique solution. Show the region that promises the Theorem 1.1
**
**All steps and rules are asked as to how one can learn with only bits and parts? Please show all work.
Transcribed Image Text:***** See if the Theorem 1.1 defines the DiffyQ::: dy/dx = 4 and proves a specific point (1,3) which is the unique solution. Show the region that promises the Theorem 1.1 ** **All steps and rules are asked as to how one can learn with only bits and parts? Please show all work.
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