Concept explainers
Graphs of Particular Solutions In Exercises 35 and 36, the general solution of the
equation is given. Use a graphing utility to graph the particular solutions for the given values of
C.
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Chapter 6 Solutions
CALCULUS EARLY TRANSCENDENTAL FUNCTIONS
- Newtons Law of Cooling Newtons law of cooling states that the rate of change of temperature of an object is proportional to the difference in temperature between the object and the surrounding medium. Thus, if T is the temperature of the object after t hours and TM is the constant temperature of the surrounding medium, then dTdt=k(TTM) where k is a constant. Use this equation in Exercises 58-61. Show that the solution of this differential equation is T=Cekt+TM where C is a constant.arrow_forwardEXERCISES Solve each differential equation, subject to the given initial condition. xdydx3y+2=0; y(1)=8arrow_forward
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