PG entrance exam CUET PG 2025 Mock Test Mathematics Differential Equations Solution of Differential Equations
Let y = y(x) be the solution of the differential equation \(\rm \frac{dy}{dx}=\frac{(\tan x )+y}{\sin x(\sec x-\sin x\tan x)}, x \in \left(0, \frac{\pi}{2}\right)\) satisfying the condition \(\rm y\left(\frac{\pi}{4}\right)=2\ Then,\ y\left(\frac{\pi}{3}\right)\) is
1
√3(2 + loge√3)
2
\(\rm \frac{\sqrt3}{2}(2+\log_e3)\)
3
√3(1 + 2loge[ 3)
4
√3(2 + loge 3)