A certain radioactive material is known to decay at a rate proportional to the amount present. Initially there is 50 mg of the material present. After 2 hours it is observed that the material has lost 10% of its original mass. find the following: - What is the proportionality constant? - expression for the mass of the material, N, at any time t. - After how many hours will the mass of the material be decreased from 50 mg to 38 mg?

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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.