Question

What is called a solution of a differential equation?

Options

• Any relation between independent and dependent variables which contains only derivatives

• A relation between independent and dependent variables, free from derivatives, that satisfies the differential equation.

• A relation containing arbitrary constants without satisfying the differential equation

• A single number obtained by differentiating the dependent variable

Answer 1

A solution is a relation between independent and dependent variables which does not involve derivatives. The relation and the derivatives obtained from it must satisfy the given differential equation.