Mathematics - Differential Equation Question with Solution | TestHub

MathematicsDifferential EquationVariable separableMedium2 minPYQ_2020

MathematicsMediumsingle choice

The solutions of $(x + y + 1) d y = d x$ are

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Answer:

Solution:

Putting $x + y + 1 = u,$ we have $d u = d x + d y$ and the given equation reduces to $u (d u - d x) =$ $d x$ $\Rightarrow \frac{u d u}{u + 1} = d x \Rightarrow u - lo g (u + 1) = x$ $\Rightarrow lo g (x + y + 2) = y +$ constant $\Rightarrow x + y + 2 = C e^{y}$

Stream:BITSATSubject:MathematicsTopic:Differential EquationSubtopic:Variable separable

⏱ 2mℹ️ Source: PYQ_2020

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