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Mathematics · 2022 · 2 marks
Differential EquationsMethods of Solving First Order, First Degree Differential Equations2 marksApplyvery short answer
CBSE 2022 · Region 1 · Set 2 · Q5
Solve the differential equation: log (dy/dx)=x- y.
Solve the differential equation : $\displaystyle \log \left(\frac{\mathrm{dy}}{\mathrm{dx}}\right)=x-\mathrm{y}$.
Marking-scheme solution
Given differential equation is
\[\frac{d y}{d x}=e^{x-y}
\]
i.e. \(\displaystyle e^{y} d y=e^{x} d x\) integrating both sides, we get
\[e^{y}=e^{x}+C
\]
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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.