Question: Let be a positive number. A differential equation of the form dy/dt = ky1+c where is a positive constant, is called a doomsday equation because

Let be a positive number. A differential equation of the form dy/dt = ky1+c where is a positive constant, is called a doomsday equation because the exponent in the expression ky1+c is larger than that for natural growth (that is, KY).

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a C ky ydy k dt C kt 0or y y ckt So y C b yt o as 1 cyckt 2 13cyk 100 occurs when t T 16 Thus yo ... View full answer

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