Problem 51783. Solve an ODE: equation B
Write a function to solve the following ordinary differential equation:
with and either or . Along with y1, one of y0 and yp0 will be assigned numerical values, and the other will be NaN. The function should return the values of y at the specified values of x.
One of the applications for this equation is in groundwater. For and the equation arises in the flow of water to a well pumping in a leaky confined aquifer; the independent variable x is the normalized distance from the well, and y is related to the piezometric head, a combination of the elevation and pressure of the water. Specifying the derivative at a point amounts to specifying the flow to the well.
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