Mathematics, 19.05.2021 18:20 smady
Kryptonite is a material found on the planet Krypton and has various effects, most importantly on Superman. The most common types are green kryptonite and red kryptonite, but it comes in a variety of colors. All varieties of kryptonite satisfy the modified separable kryptonite decay equation
dy/dt = y(1/t- k) for t > 0
where y is the amount of kryptonite present t hours after we begin to measure the decay of the kryptonite. After one hour, 15 grams of red kryptonite are present, but amazingly enough, after three hours, 30 grams of red kryptonite are present. Strange stuff, indeed! What is the maximum amount of red kryptonite present, and after how much time will this occur?
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