(i)[6]
Determine the general solution, writing $y$ as a function of $x$.
(ii)[3]
When $y = 100$ at $x = 0$, determine the value of $y$ when $x = 25$.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
The variables $x$ and $y$ are linked by the differential equation $\dfrac{dy}{dx} = \frac{1}{5} x y^{\frac{1}{2}} \sin\!\left(\frac{1}{3}x\right)$.
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