Consider the differential equation dy/dx = 2 − y.
(a) Either by inspection or by the concept that
y = c, −[infinity] < x < [infinity],
is a constant function if and only if
y' = 0,
find a constant solution of the DE.
y =
(b) Using only the differential equation, find the intervals on the y-axis on which a nonconstant solution
y = ϕ(x)
is increasing. Find the intervals on the y-axis on which
y = ϕ(x)
is decreasing. (Enter your answer using interval notation.)
increasing
decreasing

Answer asap ill give ! ’ a sample of radioactive material decays over time. the number of grams, y , of the material remaining x days after the sample is discovered is given by the equation y = 10(0.5)^x. what does the number 10 represents in the equation? a. the half-life of the radioactive material, in days b. the amount of the sample, in grams, that decays each day c. the time, in days, it will take for the samples to decay completely d. the size of the sample, in grams, at the time the material was discovered