Find the general solution for each of the following differential equations.


Given Differential Equation :



Formula :


i)


ii)


iii)


iv)


v) General solution :


For the differential equation in the form of



General solution is given by,



Where, integrating factor,



Answer :


Given differential equation is



………eq(1)


Equation (1) is of the form



Where, and


Therefore, integrating factor is





Let,


………


………


………


General solution is





………


Dividing above equation by (1+x2)2,



Therefore general equation is



1