Let c be a positive number. a differential equation of the form
dy dt= ky1 + c where k is a positive constant, is called a doomsday equation because the exponent in the expression ky1 + c is larger than the exponent 1 for natural growth.
(a) determine the solution that satisfies the initial condition
y(0) = y0.
ans: y=(-ckt+y0^-c)^(-1/c)
(b) show that there is a finite time t = t (doomsday) such that lim t %u2192 t%u2212y(t) = infinity. ans: y(t) --> infinity as 1-cy0^ckt--> 0 as t--> 1/cy0^ck t=1/cy0^ck, them lim y(t)=infinity as t--> t-
the distance from point y to wx is the height of the triangle.
using pythagoras theorem,
group similar terms to get,
this implies that,
take positive square root of both sides to get,
this implies that,
Answer from: Quest
answer:
idk
step-by-step explanation:
Answer from: Quest
Leave your answers as radicals in simplest form. examples: 3 name: special right triangle review find the missing side lengths .
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