GEA The rate at which a baby bird gains weight is proportional to the difference between its adult weight and its current weight. At time t = 0, when the bird is first weighed, its weight is 20 grams. If B(t) is the weight of the bird, in grams, at timet days after it is first weighed, then db 금(100-B) dt Let y = B(t) be the solution to the differential equation above with initial condition B(0) = 20. %3D hur teacher. Is the bird gaining weight faster when it weighs 40 grams or when it weighs 70 grams? Explain your reasoning. 2. d²b 3. Find in terms of B. Use- dt2 d'b to explain why the graph of B cannot resemble the following graph. 20- 10 Tine (days)

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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.