A differential equation is separable if it can be written in the form dy dx where g is a function of a (meaning g is not a function of y) and h is a function of y (not of x ). = = g(x)h(y), dy In this problem you will use separation to solve dx dy dx = a. Do some algebra on the right side of the differential equation so that it is in the form g(x)h(y). (hint: try factoring) || 3xy - x, y(0) = 18.
A differential equation is separable if it can be written in the form dy dx where g is a function of a (meaning g is not a function of y) and h is a function of y (not of x ). = = g(x)h(y), dy In this problem you will use separation to solve dx dy dx = a. Do some algebra on the right side of the differential equation so that it is in the form g(x)h(y). (hint: try factoring) || 3xy - x, y(0) = 18.
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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Transcribed Image Text:A differential equation is separable if it can be written in the form
dy
g(x)h(y),
dx
where g is a function of a (meaning g is not a function of y) and h is a function of y (not of x ).
-
dy
In this problem you will use separation to solve
dx
dy
dx
a. Do some algebra on the right side of the differential equation so that it is in the form g(x)h(y).
(hint: try factoring)
=
: 3xy — x, y(0) = 18.
||
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