Derivatives & Differential Equations

 

  - The derivative

 - The Partial Derivative

 - Time Derivatives

 - Derivatives of Polynomials

 - Properties of the Derivative

 - Derivatives of Common Functions

 Many functions in physical problems have the form of polynomials. The derivative of a polynomial is the sum of the derivatives of its terms, and for a general term of a polynomial such as


the derivative is given by

One of the common applications of this is in the time derivatives leading to the constant acceleration motion equations.

 

 - Differential Equations

 - First Order Homogeneous DE

 - General Solution to a D.E.

 - Boundary Conditions

 - Uniqueness Theorem

 - Differential Equation Terminology


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