Q. 214.5( 2 Votes )

Solve the differential equation dy = cosx(2 – y cosec x) dx given that y = 2 when

Answer :

given:

is a solution of the given equation


To find: solution of given differential equation


Re-writing the given equation as




It is a first order linear differential equation


Comparing it with


p(x)=cot x


q(x)=2 cos x


Calculating integrating factor





Formula:


IF = sin x


Therefore, the solution of the differential equation is given by






Substituting to get the value of c




Therefore, the solution is



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