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3. Consider a substance M in a tube. At x=0, there is a large source of M at a concentration of 0.1mol. (1) If the
3. Consider a substance M in a tube. At x=0, there is a large source of M at a concentration of 0.1mol. (1) If the concentration distribution is described by dxdc=pc, where p is a constant 2.5/m. What is the maximum timestep that can be used to solve this equation with Euler's method? (2) Solve the above equation using Euler's method with a step size of 0.1m. Show your calculations for the first four steps and summarize the data in a table. (3) If M can diffuse, the equation governing the concentration is Ddx2d2c=kc, where D is the diffusion constant, 2108m2/s, and k=5107/s. Convert the differential equation to two first-order equations. (4) Solve the equations in (3) with Euler's method with a step size of 0.1m. Show your calculations for the first three steps and summarize the data in a table. Suppose that dc/dx=0 at x=0
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