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Mathematics · 2022 · 2 marks
Differential EquationsMethods of Solving First Order, First Degree Differential Equations2 marksApplyvery short answer
CBSE 2022 · Region 5 · Set 1 · Q2
Find the general solution of the following differential equation: (d y)/(d x)=e^x-y+x^2 e^-y
Find the general solution of the following differential equation : \[\frac{d y}{d x}=e^{x-y}+x^{2} e^{-y} \]
Marking-scheme solution
\[\begin{aligned}
& \int \frac{d y}{e^{-y}}=\int\left(x^{2}+e^{x}\right) d x \\
& e^{y}=\frac{x^{3}}{3}+e^{x}+C
\end{aligned}
\]
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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.