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part11 differentlel equations 5 points each 1 verity that y...

Question: part11 differentlel equations 5 points each 1 verity that y...

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Part-11 Differentlel Equations (5 poInts each) 1. Verity that y eand yare solutions of the differe ntial eq uation y 5y 6y-0 2. What are the ge ne ral solutions of d ifferential equation in (1).? 3. What are the ge ne ral solutions of the differential eq uation 2y y 5y*2y 07 How many cond itons do you need to identfy a particular solution to this differential equation? Write a general solution to the diffe re ntial eq uation dT 4. dt Here ‘p, and q, are constants. Is your solution technique valid if p and qare functions of and not constants? 5. Translate follo wing state ments into appro priate differential equations Rate of decrease of temperature is proportional to the difference in te mperature of the body and its environ ment Rate of change of temperature T is proportional to the fourth power of temperature vector q (assume 3 dimensional) is parallel to the direction in which temperature T, decreases at the fastest rate a. b. c.

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