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11.10 Solving Differential Equations

Question 9

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

\frac{\text{d}V}{\text{d}t} = \frac{6t^2 \ln t}{V}

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

Given that the volume of the organism is $mm34\text{ mm}^3$ when $t = 1$ , solve the differential equation to find an expression for $V^2$ in terms of $t$ .

[6]

Markscheme

11.10 Solving Differential Equations Questions

A Level
Maths
11.10 Solving Differential Equations

34 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.

11.10 Solving Differential Equations

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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 $V$ of the organism (in $mm3\text{mm}^3$ ) satisfies the differential equation

\frac{\text{d}V}{\text{d}t} = \frac{6t^2 \ln t}{V}

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

Given that the volume of the organism is $mm34\text{ mm}^3$ when $t = 1$ , solve the differential equation to find an expression for $V^2$ in terms of $t$ .

[6]

Markscheme

11.10 Solving Differential Equations Questions

A Level
Maths
11.10 Solving Differential Equations

34 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.