A body with an initial mass of 200Kg is in motion under the action of a constant force of 2000N. Knowing that this body is losing 1 kg of its mass per second and considering that the air resistance is twice its speed and that the body is at rest at time t = 0, then the ordinary differential equation that describes the variation of its speed is given by the image. a. What is the speed of the body v (t) at time t = 1 seconds with 0.5 second intervals, using the Improved Euler method; b. What is the relative percentage error knowing that the particular solution of the PVI is v(t) = 10t− (1/40) * t2.

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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.