Q4. Two species of bacteria, A and B, grow independently of each other in a Petri dish. The number of bacteria of the species is N1 and N3, respectively. These numbers obey the following differential equations: aN, dt The initial conditions are: N1=70. N=30. The growth constants are r=0.1, rz=0.2. Do the following: a) Derive in the World file a general analytical formula for N;(t) and N2(t): b) Find the time Te when the number of A and B bacteria in the Petry dish becomes equal and find this number (N.). Show your calculations in the World file! Te = ... Nc = ...

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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.