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Mathematics · 2022 · 2 marks
Differential EquationsMethods of Solving First Order, First Degree Differential Equations2 marksApplyvery short answer
CBSE 2022 · Region 3 · Set 3 · Q3
Find the general solution of the differential equation: dy/dx=(3 e^2 x+3 e^4 x)/(e^x+ e^-x)
Find the general solution of the differential equation: $\displaystyle \frac{\mathrm{dy}}{\mathrm{dx}}=\frac{3 \mathrm{e}^{2 x}+3 \mathrm{e}^{4 x}}{\mathrm{e}^{x}+\mathrm{e}^{-x}}$
Marking-scheme solution
\[\begin{aligned}
& \frac{d y}{d x}=\frac{3 e^{2 x}+3 e^{4 x}}{e^{x}+e^{-x}} \\
& \frac{d y}{d x}=\frac{3 e^{2 x}\left(1+e^{2 x}\right)}{e^{x}+\dfrac{1}{e^{x}}}
\end{aligned}
\]
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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.