MTH 122 Lecture Notes - Lecture 13: Slope Field, Asteroid Family, Integral Curve
10 Dec 2017
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Document Summary
De an eq . in which derivatives of an unknown function f ( t occur y. 0 the equations just have derivative of ot variables in it. =o show that the function f (e) tat sin3t is a solution of the. 4t a general solution a y if we want to find a particular solution that. Satisfies certain additional conditions called initial conditions initial value problem. = ky then y is an exponential fanc ( ekt y. 0 bc solution now he constant need to figure out what is. Eq . describing conditions in a physical process are often referred to as a mathematical model process of finding these eq modelling he have a red. 4 steel rod and it"s plunged into a bath of cool water let. 1 ( t ) temp of rod . time t suppose water is maintained at. Roc of f- ( t derivative multi is proportional multiplied by . a constant.
