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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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.