The pressure of a fluid flowing through a closed​ system, P, after t seconds can be modeled by the function P(t)=100+40sin(12π/5t).   (a) In the interval​ [0,1], determine the times at which the pressure of the fluid is 100 mmHg.   (b) In the interval​ [0,1], determine the times at which the pressure of the fluid is 120 mmHg.   (c) In the interval​ [0,1], determine the times at which the pressure of the fluid is between 100 and 115 mmHg. Interval endpoints are rounded to the nearest hundredth.

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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.