2 sinx = √(3) sin x = √(3)2 4sin^3x 3 sinx = 4 (√(3)2)^3 3 (√(3)2) = 3√(3)2 3 √(3)2 = 0 ...

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Solving Linear Differential Equations of First Order

4 sin3 x - 3 ...

Question

$4 s i n^{3} x - 3 s i n x$ .

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Solution

$2 s i n x = \sqrt{3}$
$s i n x = \frac{\sqrt{3}}{2}$
$4 s i n^{3} x - 3 s i n x$
= $4 (\frac{\sqrt{3}}{2})^{3} - 3 (\frac{\sqrt{3}}{2})$
= $\frac{3 \sqrt{3}}{2} - 3 \frac{\sqrt{3}}{2}$
= $0$

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