The no. of arbitrary constant in the general solution of a differentia

1.	The no. of arbitrary constant in the general solution of a differential equation of 3rd order is
Answer» ANSWER: The number of arbitrary constants in the general solution of a differential equation is 3 Step-by-step explanation: In this question, Let y''' = 1 On INTEGRATING we get, y'' = X + A where A is the constant Now , again Integrating we get, y' = $\frac{x^{2}}{2}\ +\ A\ +\ B$ where A and B are constant. Integrating again, y = $\frac{x^{3}}{6}\ +\ A\ +\ B\ +\ C$ Where A, B, and C are constants Therefore, Number of Constants = 3 HENCE, Number of arbitrary constants in a general solution of a differential equation is 3