Find the curve passing through the origin in the form \( y=f(x) \) and satisfying the diffrentia...
Find the curve passing through the origin in the form \( y=f(x) \) and satisfying the diffrential equation \( \frac{d y}{d x}=\cos (10 x+8 y) \)
(a) \( 4 y=\tan ^{-1}(3 \tan 3 x)+5 x \)
(b) \( 16 y=\tan ^{-1}(3 \tan 3 x)+10 x \)
(c) \( 8 y=\tan ^{-1}(3 \tan 3 x)-10 x \)
(d) \( 4 y=\tan ^{-1}(3 \tan 3 x)-5 x \)
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