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Order _Of_A_DE

# Order _Of_A_DE - O r d e r o f O r d in a r y D if f e r e...

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Page 1 of 2 Order of Ordinary Differential Equations An ordinary differential equation is an equation for one unknown function x ( t ) of a single independent variable t that involves one or more of the unknown’s derivatives: dx dt First Derivative , d 2 x dt 2 Second Derivative , d 3 x dt 3 Third Derivative , , d n x dt n n th Derivative If the independent variable is time, the derivatives are often denoted by dots as shown below. x First Derivative Velocity ,  x Second Derivative Acceleration ,  x 3rd Derivative Jerk ,  x 4 th Derivative Snap ,   x 5 th Derivative Crackle ,   x 6 th Derivative Pop If the unknown x ( t ) represents the location or position of a point particle, these derivatives are called the velocity , acceleration , jerk and snap respectively. The fifth and sixth derivatives have been called the crackle and pop . Some authors have given the snap other appellations including jounce , sprite

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Order _Of_A_DE - O r d e r o f O r d in a r y D if f e r e...

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