A Note
Chapter 9: DIFFERENTIAL EQUATIONS · MATHEMATICS PART-2 · EN medium
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. We shall prefer to use the following notations for derivatives: , , ′ ′′ ′′′ . For derivatives of higher order, it will be inconvenient to use so many dashes as supersuffix therefore, we use the notation y n for n th order derivative n n . . . Order of a differential equation Order of a differential equation is defined as the order of the highest order derivative of the dependent variable with respect to the independent variable involved in the given differential equation. Consider the following differential equations: dx = e x ... ( ) = ... ( ) = ... ( ) The equations ( ), ( ) and ( ) involve the highest derivative of first, second and third order respectively.
📖 ncert book class 12 maths part 2 chapter 3 · Page 2
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. We shall prefer to use the following notations for derivatives: , , ′ ′′ ′′′ . For derivatives of higher order, it will be inconvenient to use so many dashes as supersuffix therefore, we use the notation y n for n th order derivative n n . .
. Order of a differential equation Order of a differential equation is defined as the order of the highest order derivative of the dependent variable with respect to the independent variable involved in the given differential equation. Consider the following differential equations: dx = e x ... ( ) = ...
( ) = ... ( ) The equations ( ), ( ) and ( ) involve the highest derivative of first, second and third order respectively. Therefore, the order of these equations are , and respectively.
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