AktiraAktira JEE
Subscribe
MathsJEE Main 6 Apr 2026, Shift 1·Q25·Numerical·Moderate

Differential Equations · Linear first order differential equation

Let y=y(x)y = y(x) be the solution of the differential equation (x2−xx2−1)dy+(y(x−x2−1)−x)dx=0,\left(x^2 - x\sqrt{x^2 - 1}\right)dy + \left(y\left(x - \sqrt{x^2 - 1}\right) - x\right)dx = 0, x≥1x \ge 1. If y(1)=1y(1) = 1, then the greatest integer less than y(5)y\left(\sqrt5\right) is .

Video solution coming soon

We're animating every PYQ step by step. Subscribe to get them first.

Subscribe

See the full 6 Apr 2026, Shift 1 paper

More on Linear first order differential equation