Find a particular solution satisfying the given condition for each of the following differential equations.
, given that Given Differential Equation : Formula : i) ii) iii) General solution : For the differential equation in the form of General solution is given by, Where, integrating factor, Answer : Given differential equation is Dividing above equation by (1+x2), ………eq(1) Equation (1) is of the form Where, and Therefore, integrating factor is Let, ……… General solution is ……… Therefore, general solution is For particular solution put y=0 and x=0 in above equation, Substituting c in general solution, Dividing above equation by (1+x2), Therefore, particular solution is