How many arbitrary constants are there in a particular solution of differential equation?
Note: -Whenever we face such types of questions the key concept we have to remember is that the number of arbitrary constants in general solution is the order of the differential equation and the number of arbitrary constants in the particular solution is always zero.
What is the derivative of an arbitrary constant?
The rule for differentiating constant functions is called the constant rule. It states that the derivative of a constant function is zero; that is, since a constant function is a horizontal line, the slope, or the rate of change, of a constant function is 0. We restate this rule in the following theorem.
How many arbitrary constant are there?
The arbitrary constants in the general solution of the differential equation is equal to the order of the differential equation. Hence, the number of arbitrary constants in the general solution of the differential equation of order 3 are 3.
How many arbitrary constants are there in a particular solution of a differential equation if its order is a 2 b 3?
Since there is no arbitrary constant in particular solution. ∴ (D) is correct answer.
What is the number of arbitrary constant in the general solution of a differential equation of order 4?
D. A. The number of arbitrary constants in the general solution of a differential equation of fourth order are: 0.
How many arbitrary constant in the general solution of a differential equation of fourth order?
The number of arbitrary constants in the general solution of a differential equation of fourth order are: 0.
How many arbitrary constants are there in the general solution of the differential equation of degree 4 and Order 2?
When we have an equation of degree 4 with us, we can integrate it on both sides. Now, if we integrate it again, we will get a one more constant and new equation with degree 2. Now, we have to repeat the integration which will lead us to 3 arbitrary constants in all.