Calculus Vs Straight lines

Calculus Level 4

Find the acute angle between the 2 lines passing through the origin and satisfying the differential equation, \((4x-3y)dx+(2y-3x)dy=0\).

If the answer can be represented as \( \arctan \left(\frac{a}{b}\right) \) where \( a\) and \(b\) are co-prime.
Input your answer as \(a+b\). Note: \( \arctan x\) is an inverse trigonometric function.

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