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Questions › JNU › JNU SSS 2016 › Q44
1 markMathematics › Difference and differential equations › First-order differential equationsHardabout 3 min

JNU SSS 2016 Question 44: Difference and differential equations

Real variables xxx and yyy satisfy the relation dy/dx=x3/y2dy/dx = x^3/y^2dy/dx=x3/y2 and we know that the value of y3y^3y3 is –9 when the value of xxx is 2. What is the value of x2x^2x2 when the value of yyy is 3?

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Real variables x and y satisfy the relation dy/dx = x³/y² and we know that the value of y³ is –9 when the value of x is 2. What is the value of x² when the value of y is 3? (A) 5 (B) 6 (C) 8 (D) 12

Also written as: Real variables x and y satisfy the relation dy/dx = x^3/y^2 and we know that the value of y^3 is –9 when the value of x is 2. What is the value of x^2 when the value of y is 3?

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).
Practise Difference and differential equationsMore on First-order differential equations

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Question from the JNU SSS 2016 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.