Formula $1$ point

Solve $(1-y^2{)}^{\frac{1}{2}}dx+3(3^2-x^2{)}^{\frac{1}{2}}dy=0$ subject to $y(0)=\frac{\sqrt[\phantom{2}]{3}}{2}.$

At $x_1=0\mathrm{.}4$ radian, find the positive $y(x_1).$

In your calculations, ensure that each step includes at least three decimal places of precision.

Use $=3\mathrm{.}14159$ and $e=2\mathrm{.}71824.$

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