Show complete solution. Differential Equation.  A radioactive material is known to decay at the rate proportional to the amound present. If initially there is 50 mg of the material and after 2 hours, it is observed that the material has lost 20% of its original mass. a. Find the expression for the approximate amount of radioactive material present at any time t.  b. Determine the mass of the material after 4 hours. c. Determine the half-life of the material.

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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.