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Questions › CUET-PG › CUET-PG 2023 Shift 2 › Q65
4 marks, −1Mathematics › Difference and differential equations › First-order differential equationsModerateabout 1 min

CUET-PG 2023 Shift 2 Question 65: Difference and differential equations

Find the general solution of the differential equation: dxx+dyy=0\frac{dx}{x} + \frac{dy}{y} = 0xdx​+ydy​=0

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Find the general solution of the differential equation: dx/x + dy/y = 0 (A) 1/x + 1/y = C₁ x + C₂ (B) log x + log y = c₁ + c₂ (C) xy = c (D) x + y = c

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).
Take this paper as a timed mockMore on First-order differential equations

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Question from the CUET-PG 2023 Shift 2 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.