jee-main 2026 Q24

jee-main · India · session1_21jan_shift2 Differential equations First-Order Linear DE: General Solution
Consider the differential equation $\sec x \frac{dy}{dx} - 2y = 2 + 3\sin x$
If $y(0) = -\frac{7}{4}$, then find $y\left(\frac{\pi}{6}\right)$.
(A) $-5/2$
(B) $0$
(C) $1$
(D) $3/2$
Consider the differential equation $\sec x \frac{dy}{dx} - 2y = 2 + 3\sin x$

If $y(0) = -\frac{7}{4}$, then find $y\left(\frac{\pi}{6}\right)$.

(A) $-5/2$

(B) $0$

(C) $1$

(D) $3/2$