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CUET
-- Mathematics - Section A
Differential Equations
The solution of the differential equation $\frac{d y}{d x}=\frac{3 e^{2 x}+3 e^{4 x}}{e^x+e^{-x}}$
$y=\left(e^x+e^{-x}\right)+C$
$y=Ce^x$
$y=e^{3 x}+C$
$y=3 e^{3 x}+C$
The correct answer is Option (3) → $y=e^{3 x}+C$