# Crazy diffy! 2

Calculus Level 5

$\frac { { d }^{ 2 }x }{ { d }y^{ 2 } } +2\frac { dx }{ dy } +5x=\sin { \left( y \right) }$

Above shows a differential equation. You are given that if $$y = 0$$, then $$x = 1$$ and $$\dfrac{dx}{dy} = 2$$. Let $$A$$ denote the value of $$x$$ when $$y=30$$. Find $$\lfloor 1000A \rfloor$$.

Take y in degrees.

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