Ordinary Differential Equations:

Cylindrical Coordinates

M.M. Yovanovich

ODESCYL1.MWS

> restart:

> ode1:= diff(y(r),r$2)+ 1/r*diff(y(r),r) = 0;

> sol1:= dsolve(ode1, y(r));

> ode2:= diff(y(r),r$2)+ 1/r*diff(y(r),r) = S/k;

> sol2:= dsolve(ode2, y(r));

> ode3:= diff(y(r),r$2)+ 1/r*diff(y(r),r) = -S/k;

> sol3:= dsolve(ode3, y(r));

> ode4:= diff(y(r),r$2)+ 1/r*diff(y(r),r) + lambda^2*y(r) = 0; assume(lambda > 0);

> sol4:= dsolve(ode4, y(r));

> ode5:= diff(y(r),r$2)+ 1/r*diff(y(r),r) - lambda^2*y(r) = 0; assume(lambda > 0);

> sol5:= dsolve(ode5, y(r));

>