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Year 12 Maths Extension 1 Differential Equations

Solving y=f(x)

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Questions
Question 1
52027

Find the particular solution to \(\dfrac{dy}{dx}=\dfrac{1}{\sqrt{9-x^2}},\,\,y(3)=\dfrac{\pi}{2}\)

\(y=\sin ^{-1} \dfrac{x}{3}\)

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