Particle A decays with a decay constant 1 to become particle B, which will decay into a C particle with a decay constant of 2, which then decays again into a particle D with a decay constant of 3. Number of particles A as a function time is obtained by solving the differential equation (differential equation in picture number one) The number of particles B as a function of time is expressed by (in picture number 2) Determine the number of particles C as a function of time by solving the differential equation (in picture number 3) if at t = 0, there are only N0 particles A.

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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.