solve the differential equation cos²x sin x dy/dx= cos³x*y+1

First order Separable of variables method Or Linear first order differential equation method
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Given cos²x sin x dy/dx= cos³x*y+1
(sin x+sin(3x))y'(x)=y(x)(3cosx+cos3x+4)
y(x)=c1 sin x-cos 2x sec x

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