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


Given Differential Equation :



Formula :


i)


ii)


iii)


iv)


v)


vi) 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




………


………




………


General solution is





………


………


Multiplying above equation by 2,



where, C=2c


Therefore, general solution is



1