Assume you have a 20m×50m rectangular pond. A pollutant enters a 1m×1m rectangular section at the center of pond and initially has the solute concentration of 1000[ML-3], while the solute concentration at other sections of this pond is zero.undefinedAt the boundaries the concentration of the pollutant will remain zero. Following the advection dispersion formula stated below:undefined∂C∂2C∂2Cundefined∂t = Dx ∂x2 + Dy ∂y2undefinedwhere Dx and Dy are constant dispersion coefficients, Dx = 1.0, Dy = 0.2, evaluate and demonstrate using appropriate mathematical tools and graphs how the solute concentration varies in time and how the pollutant is dispersed in this pond.undefinedFor solving the above equation use the following numerical discretization methods: 1- Explicit methodundefined2- Crank–Nicolson methodundefined2-1- use Matrix technique for solving your system of linear equations.undefined2-2- use an iterative technique (e.g. Gauss-Seidel method) for solving your system of linear equations.

I have 10 calculus problems from an assignment that is due Monday. I need all the work to be thoroughly show (as much as possible to better my understanding as well). This is for a Calculus 1 class. Thank you.