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Solve the differential equation of Y-cos x(dy/dx)=y^2(1-sin x)(cos x)

Solve the differential equation of
Y-cos x(dy/dx)=y^2(1-sin x)(cos x) 

Grade:12th pass

1 Answers

Aditya Gupta
2075 Points
2 years ago
divide both sides by –cosx. the equation then turns into the bernoullis form of differential eqn (you can google this term and read its wikipedia page). note that this form is directly convertible into first order linear differential eqn (dy/dx+Py=Q), which is easily solvable using integrating factor.

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