A function y = g(x) is described below by some geometric property of its graph. Write a differential equation of the form or as one of its solutions. The slope of the graph of g at the point (x,y) is the sum of x and y A differential equation of the form = f(x,y) is dx (Do not explicitly include arguments of functions in your answer.) C dy =f(x,y) having the function g as its solution dx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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A function y = g(x) is described below by some geometric property of its graph. Write a differential equation of the form
or as one of its solutions.
The slope of the graph of g at the point (x,y) is the sum of x and y
A differential equation of the form
= f(x,y) is
dx
(Do not explicitly include arguments of functions in your answer.)
C
dy
=f(x,y) having the function g as its solution
dx
Transcribed Image Text:A function y = g(x) is described below by some geometric property of its graph. Write a differential equation of the form or as one of its solutions. The slope of the graph of g at the point (x,y) is the sum of x and y A differential equation of the form = f(x,y) is dx (Do not explicitly include arguments of functions in your answer.) C dy =f(x,y) having the function g as its solution dx
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