Solve the first-order differential equation

Given

when the first order linear ordinary differential equation has the form of

then the general solution is,

so,

=>

=>

=> --------(1)

on comparing both we get,

so on solving with the above general solution we get:

y(x)=

Given

when the first order linear ordinary differential equation has the form of

then the general solution is,

so,

=>

=>

=> --------(1)

on comparing both we get,

so on solving with the above general solution we get:

y(x)=

=

first we shall solve

 

When then is undefined , so  

so

proceeding further, we get

y(x) =

=

=

=