a) find the solution of the equation, using homogeneous equations. dy/dx = 2y-x/2x-y

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
Problem 48PS
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a) find the solution of the equation, using homogeneous equations.

dy/dx = 2y-x/2x-y

 

b) find the solution of the equation, using homogeneous equations.

dy/dx = 2y-x+5/2x-y-4

 

NOTE: To reduce equation b) to that of part a), consider a preliminary substitution of the form x = X-h, y = Y-k. Choose the constants h and k so that the equation is homogeneous in the variables X and Y.

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