I'm confused how to work this practice problem. It says: Use the method for solving homogeneous equations to solve the following differential equation. 2(x2+y2)dx+(3xy)dy=0 Ignoring lost​ solutions, if​ any, an implicit solution in the form ​F(x,y)=C, where C is an arbitrary constant. The asnwer is C=lnABS(x) + (3ln(5(y/x)2+2))/10 ABS meaning the ablosute value (not questioning your smartness. Just thought i'd include that just in case you were confused.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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I'm confused how to work this practice problem.


It says: Use the method for solving homogeneous equations to solve the following differential equation.

2(x2+y2)dx+(3xy)dy=0

Ignoring lost​ solutions, if​ any, an implicit solution in the form ​F(x,y)=C, where C is an arbitrary constant.

The asnwer is C=lnABS(x) + (3ln(5(y/x)2+2))/10

ABS meaning the ablosute value (not questioning your smartness. Just thought i'd include that just in case you were confused.)

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