(i)[7]
Find the solution to the differential equation and express $x$ in terms of $\theta$.
(ii)[1]
State the smallest value attained by $x$.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
The variables $x$ and $\theta$ are linked by the differential equation $(3 + \cos 2\theta)\,\frac{dx}{d\theta} = x \sin 2\theta$, and the condition is that $x = 3$ when $\theta = \frac{1}{4}\pi$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Carry out separation of variables correctly and make an attempt at integrating.” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI