3. Show that the function f(x, y) = xy3 - 2x2 y2 is homogeneous. (4 pts.) dy 4. Use an appropriate substitution to solve the differential equation 2y= -7x²y³ dx (8 pts.)

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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3. Show that the function f(x, y) = xy3 - 2x2 y2 is homogeneous. (4 pts.)
dy
4. Use an appropriate substitution to solve the differential equation
2y= -7x²y³
dx
(8 pts.)
Transcribed Image Text:3. Show that the function f(x, y) = xy3 - 2x2 y2 is homogeneous. (4 pts.) dy 4. Use an appropriate substitution to solve the differential equation 2y= -7x²y³ dx (8 pts.)
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