Discussion
Consider the following statements about differential equations. 1. The order counts derivatives and the degree counts powers 2. An exact equation satisfies \( M_{y} = N_{x} \) 3. A homogeneous first-order equation is always separable as it stands
Answer: A
The first two hold. The third overstates the case: a homogeneous equation becomes separable only after the substitution \( y = vx \), and as written it usually mixes the variables. That substitution is precisely what the classification exists to point to
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