Applied Mathematics 2270A/B Chapter Notes - Chapter 1: Coset, Aea, Adze
9 Dec 2022
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Differential equations : involves an unknown function & its derivatives. Example : y (a) = ? yea) + y. " (z ) y"" ( se) = cos@ a: ordinary differential equations (ode ) all are w/ variable respect to a single independent, partial differential equation ( pde) to more than 1 independent. Order of de = equation yea it ) 1- d. Y belt) + 9 cait)= 0 respect toy respect to t given by highest derivative of unknown example : ) 2=22+6. 1st order dd fct) + flt) = coset) 2nd order linearity : y (a) + y (a) + by" (a) = sincere) linear. 2) yen) & derivatives are to power of 1 yea) & derivatives not multiplied by eachother. 3) yea) not argument of another function y (a) 3 (y " (a) 2. " (a) = y " cx) cross term. How to solve de solution = a function that satisfies.
is called a differential equation because it involves unknown functions 
and its derivatives 
and 
.
