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

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

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.CM: Cumulative Review
Problem 24CM: Use a system of linear equation to find the parabola y=ax2+bx+c that passes through the points...
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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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