Question

Classify the equation as separable, linear, exact, or none of these. Note that it is possible for the equation to have more than one classification. xydx + 5dy = 0 Select all that apply. A. Linear B. Exact C. Separable D. None of these

Answer 1

given rydoc & sely 5dy any doc x doc - Edy g dy - sy dx 5 we know that a first order differential equation- dy frany) dx is called separable equa Hon if the function flany)_conhe factored into the peoductos two functions of Land y foly? Poul oly) where p(x) and 214)_are_continous function so from f(x,y) -xy 5 take plo-X 5 given differential Equal Hon is separable_differential Equation: olyly so

and d. first order linear differential Equation_hes_Hae form. dy ty.pl 060) dx Whave plx) and 882 are continous functions so giuen Equation sy dat sdy zo xy + dy o 5 dic = dy + xy dx 5 Compair with son ③ weget por = xoard = o. so so eon ① is of the form in givee-differential equation_ts-dinelle differcotel Equation. ophon CA) and coare covered
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