Question

A general solution of a differential equation becomes a particular solution only when we assign values to all arbitrary constants

• A. True
• B. Flase

Answer 1

The correct option is B Flase

This question is about how we get a particular solution from a general solution of a differential equation. As we have seen, a general solution would have as many arbitrary constants as the order of the differential equation. We may be given some conditions and we assign values to some of these constants. When we assign value to any of the arbitrary constants, we get a particular solution. If at least one constant is given a value, we call it a particular solution. So the given statement which says that all the constants have to be assigned some value is wrong.