JEE Advance - Mathematics (1996 - No. 3)
Determine the equation of the curve passing through the origin, in the form $$y=f(x),$$ which satisfies the differential equation $${{dy} \over {dx}} = \sin \left( {10x + 6y} \right).\,$$
y = (1/3)[arctan((5tan 4x)/(4 - 3tan 4x)) - 5x]
y = (1/6)[arctan((5tan 4x)/(4 - 3tan 4x)) - 5x]
y = (1/3)[arcsin((5tan 4x)/(4 - 3tan 4x)) - 5x]
y = (1/3)[arctan((5tan 4x)/(4 + 3tan 4x)) - 5x]
y = (1/3)[arctan((5tan 4x)/(4 - 3tan 4x)) + 5x]
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