r''-r(phi'^2+sin(phi)^2 theta'^2) -e^-r^2 = 0

Do you have any idea how to solve that ode?

I'm looking for the correct word usage:

"There's an online ____ that mocks the lack of objectivity in philosophy"

That ____ is the following:

The dean addresses the physicist: "Why do I always have to give you guys so 
much money, for laboratories and expensive equipment and stuff. Why couldn't 
you be like the maths department - all they need is money for pencils, paper 
and waste-paper baskets. Or even better, like the philosophy department. 
All they need are pencils and paper." 

What word is ____ ?

I need to solve this equation:

2*(diff(R, t))*sin(theta)*sin(phi)*(diff(phi, t))+2*(diff(R, t))*cos(theta)*cos(phi)*(diff(theta, t))-2*R*sin(phi)*cos(theta)*(diff(theta, t))*(diff(phi, t))+diff((diff(R, t))*cos(phi)*sin(theta), t)-R*sin(theta)*sin(phi)*(diff(diff(phi, t), t))+R*cos(phi)*cos(theta)*(diff(diff(theta, t), t))-R*cos(phi)*sin(theta)*((diff(theta, t))^2+(diff(phi, t))^2)+R*sin(theta)*cos(phi)*e^(-R^2) = 0

how would I do this?

THese are the critical points:

(x,y) = (0,0)

(x,y) = (+/- sqrt (r) , r^2)

How do I plot this for various values of r >=1?

If I have an inequality b*(b-4)<-4a

is there a way in Maple to find a and b for which inequality holds?