Which of the following statements on ordinary differential equations is/are true? (i) The number of arbitrary constants is same as the degree of the differential equation. |
(i) and (iii) only (ii) and (iii) only (iii) only (i) and (iv) only |
(iii) only |
The number of arbitrary constants in the solution of a differential equation is same as its order. So, statement (i) is not true. Statement (ii) is not true. However, statement (iii) is true. Some homogeneous differential equations reduce to variable separable form by putting $v=\frac{y}{x}$. |