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11.10 Solving Differential Equations

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Question 16

The rate of change of the concentration $C\,$ of a chemical reagent in a reaction is modeled by the differential equation

\frac{\text{d}C}{\text{d}t} = \frac{8t \ln t}{C}, \quad t > 0

where $t\,$ is the time in seconds. Given that the concentration is 6 units when $t = 1$ , solve the differential equation to find an expression for the concentration at any time $t$ , giving your answer in the form $C^2 = f(t)$ .

[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 16

The rate of change of the concentration $C\,$ of a chemical reagent in a reaction is modeled by the differential equation

\frac{\text{d}C}{\text{d}t} = \frac{8t \ln t}{C}, \quad t > 0

[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.