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


Given Differential Equation :



Formula :


i)


ii)


iii)


iv) General solution :


For the differential equation in the form of



The general solution is given by,



Where integrating factor,



Answer :


Given differential equation is



Dividing the above equation by x,


………eq(1)


Equation (1) is of the form



Where, and


Therefore, the integrating factor is




………


= x………


General solution is





………


Dividing the above equation by x




1