Question

Singular solution of a differential equation is one that cannot be obtained from the general solution gotten by the usual method of solving the differential equation.

(a) True

(b) False

The question was posed to me in an interview.

The query is from First Order Non-Linear PDE in chapter Partial Differential Equations of Engineering Mathematics

Answer 1

The correct choice is (a) True

For explanation: A differential equation is said to have a singular solution if in all points in the domain of the equation the uniqueness of the solution is violated. Hence, this solution cannot be obtained from the general solution.