Differential Equations

JEE Main · Mathematics · 9 past questions

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1. Q1 2026 2 Apr Shift 1

   If the curve $y=f(x)$ passes through the point $(1, e)$ and satisfies the differential equation…

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2. Q2 2026 2 Apr Shift 1

   Let $y=y(x)$ be the solution curve of the differential equation $(1+\sin x)\dfrac{dy}{dx}+(y+1)\cos x=0$…

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3. Q3 2026 2 Apr Shift 2

   Let $x=x(y)$ be the solution of the differential equation $2y^2\frac{dx}{dy}-2xy+x^2=0$, $y>1$, $x(e)=e$.…

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4. Q4 2026 4 Apr Shift 1

   Let $y = y(x)$ be the solution of the differential equation $\frac{dy}{dx} = (1+x+x^2)(1-y+y^2)$…

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5. Q5 2026 4 Apr Shift 2

   Let $y = y(x)$ be the solution of the differential equation…

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6. Q6 2026 5 Apr Shift 2

   Let $f : [1, \infty) \to \mathbf{R}$ be a differentiable function defined as…

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7. Q7 2026 5 Apr Shift 2

   Let $y=y(x)$ be the solution of the differential equation…

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8. Q8 2026 6 Apr Shift 1

   Let $y=y(x)$ be the solution of the differential equation…

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9. Q9 2026 8 Apr Shift 2

   Let $y=y(x)$ be the solution of the differential equation…

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