Determine the equation of the curve pass...

Determine the equation of the curve passing through the origin, in the form `y=f(x),` which satisfies the differential equation `(dy)/(dx)=sin(10 x+6y)dot`

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The correct Answer is:

`Y=1/3 tan ^(-1) [ 4/5 {4x+ tan ^(-1) 3/4 }-3/5 ]- (5x)/3`

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