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Finding a Particular Solution In Exercises 47 and 48, find the particular solution of the
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Calculus (MindTap Course List)
- Find the general solution for each differential equation. Verify that each solution satisfies the original differential equation. dydx=3x2y2xyarrow_forwardNewtons 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_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,