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Differential Equations

JEE Main · Mathematics · 9 past questions

These are the board's own papers. 207 more board questions reprinted in the books we use in class are for signed-in students: sign in.

4 of 9 · show all

  1. Q2 2026 2 Apr Shift 1
    Let $y=y(x)$ be the solution curve of the differential equation $(1+\sin x)\dfrac{dy}{dx}+(y+1)\cos x=0$…
  2. Q3 2026 2 Apr Shift 2
    Let $x=x(y)$ be the solution of the differential equation $2y^2\frac{dx}{dy}-2xy+x^2=0$, $y>1$, $x(e)=e$.…
  3. Q4 2026 4 Apr Shift 1
    Let $y = y(x)$ be the solution of the differential equation $\frac{dy}{dx} = (1+x+x^2)(1-y+y^2)$…
  4. Q6 2026 5 Apr Shift 2
    Let $f : [1, \infty) \to \mathbf{R}$ be a differentiable function defined as…