The rate of change of the concentration C C\,C of a chemical reagent in a reaction is modeled by the differential equation
dCdt=8tlntC,t>0 \frac{\text{d}C}{\text{d}t} = \frac{8t \ln t}{C}, \quad t > 0 dtdC=C8tlnt,t>0where t t\,t is the time in seconds. Given that the concentration is 6 units when t=1t = 1t=1, solve the differential equation to find an expression for the concentration at any time ttt, giving your answer in the form C2=f(t)C^2 = f(t)C2=f(t).
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.
