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 $t$ .

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 $t$ .

Integration

Question 52

Markscheme

Integration

Question 52

Markscheme

Integration

Question 52

Integration Questions

Integration

Question 52

Integration Questions