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11.10 Solving Differential Equations

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Question 9

A researcher is studying the growth of a bioluminescent organism. The volume VVV of the organism (in mm3\text{mm}^3mm3) satisfies the differential equation

dVdt=6t2ln⁡tV \frac{\text{d}V}{\text{d}t} = \frac{6t^2 \ln t}{V} dtdV​=V6t2lnt​

for t≥1t \ge 1t≥1, where ttt is the time in days since the start of the observation.

Given that the volume of the organism is 4 mm34\text{ mm}^34 mm3 when t=1t = 1t=1, solve the differential equation to find an expression for V2V^2V2 in terms of ttt.

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11.10 Solving Differential Equations Questions

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

Practise Edexcel A Level Maths 11.10 Solving Differential Equations with exam-style questions for A Level Maths. 35 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank