Differential Equations: The rate of change of the mass, Q, of salt at time t is proportional to the square of the mass of salt present at time t. Initially, there is 10 grams of salt present. (a) Solve this initial value problem:=??2 where ?(0)=10 b) Experimentally, we know that after 10 hours there are 4 grams of salt present. Use this to determine the proportionality constant k. (c) Based on your solution find the time when (?)<1.

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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.