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Mathematics · 2022 · 2 marks
Differential EquationsMethods of Solving First Order, First Degree Differential Equations2 marksApplyvery short answer
CBSE 2022 · Region 4 · Set 1 · Q5
Find the general solution of the differential equation sec^2 x · tan y d x+ sec^2 y · tan x d y=0.
Find the general solution of the differential equation \[\sec ^{2} x \cdot \tan y d x+\sec ^{2} y \cdot \tan x d y=0 . \]
Marking-scheme solution
Given differential equation can be written as \(\displaystyle \frac{\sec ^{2} x}{\tan x} d x+\frac{\sec ^{2} y}{\tan y} d y=0\)
Integrating, \(\displaystyle \log |\log x|+\log |\tan y|=\log C\)
\[\tan x \cdot \tan y=C
\]
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CBSE Class 12 Mathematics past-paper question from the 2022 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.