The initial concentration of phosphorous (C) in a waste water pond is 10' ppm, as against he acceptable limit of 6.75x10 ppm. The concentration (C) will reduce as fresh water enters the pond. The differential equation that governs the concentration, C as a function of time (in weeks) is given by, dC +0.06 C = 0, C (0) =10 ppm dt Using Euler's method and a step size of 3.5 weeks, Calculate (1.) The concentration of the phosphorus after 7 weeks. (H.) Exact concentration after 7 weeks (.) Relative absolute error

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A:

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A: We will use simple differentiation rules to solve this question.

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A:

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.