# PDE:Mathematical Modeling

## Mathematical Modeling

solution Let the temperature $u\,$ inside a solid sphere be a function only of radial distance $r\,$ from the center and time $t\,$. Show that the equation for heat diffusion is now $u_t = \nu(u_{rr}+2u_r/r)\,$.

solution A ball is thrown straight up from the ground. How high will it go?

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