Question

Constants that appear while solving differential equations

Answer 1

Answer:

An arbitrary constant is a constant whose value could be assumed to be anything, just so long as it doesn't depend on the other variables in an equation or expression. A constant that's not arbitrary can usually just take one value (or perhaps, a set of possible values, but not just any value)

Answer 2

Answer:

A differential equation has constant coefficients if only constant functions appear as coefficients in the associated homogeneous equation. A solution of a differential equation is a function that satisfies the equation. The solutions of a homogeneous linear differential equation form a vector space.