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Question Bank [2022] — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsQuestion Bank [2022]3 Marks
Question
Solve the differential equation $xdx + 2ydy = 0$
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Answer

$x d x+2 y d y=0$
Integrating on both sides, we get
$\int x d x+2 \int y d y=0$
$\therefore \frac{x^2}{2}+2\left(\frac{y^2}{2}\right)^2= c _1 $
$\therefore x ^2+2 y ^2= c , \text { where } c =2 c _1$

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