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 (in g) of red kryptonite present? (Round your answer to two decimal places.)   How many hours after the start of this experiment will this occur? (Round your answer to two decimal places.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.