Differential Equations

Comprehensive Question Bank & Study Notes

Multiple Choice Questions

1 Competency APPLY MCQ_SINGLE 4 Mark(s) 2026 JEE Main 2026 (Online) 21st January Morning Shift
#1143
7. If $y=y(x)$ and
$$(1+x^2) dy + (1-\tan^{-1} x) dx = 0$$
and $y(0)=1$, then $y(1)$ is equal to:
(A) $$\frac{\pi^2}{32}+\frac{\pi}{4}+1$$
(B) $$\frac{\pi^2}{32}-\frac{\pi}{4}+1$$
(C) $$\frac{\pi^2}{32}-\frac{\pi}{2}-1$$
(D) $$\frac{\pi^2}{32}-\frac{\pi}{2}+1$$
MEDIUM