Skip to content

Course home

1.8.11 Differential equations with separable variables (A-level only)

1.8.11 Differential equations with separable variables (A-level only)

MediumHard
12345678910111213
Question 13

A curve, CCC, passes through the point with coordinates (2,4)(2, 4)(2,4). The gradient of CCC at any point (x,y)(x, y)(x,y) is given by

dydx=x2y24 \frac{dy}{dx} = \frac{x^2 y^2}{4} dxdy​=4x2y2​

Show that CCC intersects the coordinate axes at exactly one point and state the coordinates of this point. Fully justify your answer.

[6]
Markscheme

1.8.11 Differential equations with separable variables (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.8.11 Differential equations with separable variables (A-level only)

34 exam-style questions on OCR A Level Maths 1.8.11 Differential equations with separable variables (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank