Recall that the solution of the initial-value problem \(y^\prime=ky\text{,}\) \(y(0)=A\text{,}\) is given by \(\ds y=Ae^{kx}\text{.}\) Solve the following problems ...
Free boundary problems are at the forefront of mathematical oncology, where the tumour boundary is not predetermined but emerges from the underlying biological processes. These problems couple partial ...