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Questions › IIT JAM › IIT JAM 2024 › Q29
2 marks, −0.667Mathematics › Difference and differential equations › First-order differential equationsHardabout 3 min

IIT JAM 2024 Question 29: Difference and differential equations

The differential equation satisfied by circles with radius 333 and center lying on the YYY-axis is

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The differential equation satisfied by circles with radius 3 and center lying on the Y -axis is (A) (dy/dx)² = x²/(9 + x²) (B) (dy/dx)² = (9 + y²)/y² (C) (dy/dx)² = x²/(9 - x²) (D) (dy/dx)² = (9 - y²)/y²

Difference and differential equations has come up 20 times in 5 exams since 2014.

What this question tests

This question is on First-order differential equations, part of Difference and differential equations in Mathematics.

Solving equations in a function and its first derivative.

TestStop has 7 past-paper questions on this subtopic; the nearest in year are below.

  • IIT JAM 2021 · Q8The differential equation (3x² y + y³) dx + (x³ + 3xy²) dy = 0 is
  • IIT JAM 2021 · Q54Let y(x) > 0 solve dy/dx + y = y². If y(ln 2) = 1/3, then y(ln 3) equals _ (round off to 2 decimal places).
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