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11.10 Solving Differential Equations

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Question 17

The profile of a cooling fin in a high-performance engine is modeled by a curve CCC in the (x,y)(x, y)(x,y) plane. For y>0y > 0y>0, the gradient of the curve at any point (x,y)(x, y)(x,y) is given by the differential equation

dydx=x3y227 \frac{dy}{dx} = \frac{x^3 y^2}{27} dxdy​=27x3y2​

The curve CCC passes through the point with coordinates (3,1)(3, 1)(3,1). Show that CCC intersects the coordinate axes at exactly one point and state the coordinates of this point. Fully justify your answer.

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Markscheme

11.10 Solving Differential Equations Questions

  1. A Level
  2. /Maths
  3. /11.10 Solving Differential Equations

33 exam-style questions on Edexcel A Level Maths 11.10 Solving Differential Equations. Each one has a worked solution and a mark scheme showing where the marks go.

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