A bacteria culture grows with constant relative growth rate. The bacteria count was 400 after 2 hours and 25, 600 after 6 hours.(a) What is the relative growth rate? Express your answer as a percentage.(b) What was the initial size of the culture?(c) Find an expression for the number of bacteria after thours.(d) Find the number of cells after 4.5 hours.(e) Find the rate of growth after 4.5 hours.(f) When will the population reach 50,000?

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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.