/sci/ - Science & Math

>>11419050 #
1) Any nth order ordinary differential equation is going to have an n dimensional solution space
2) 2 functions from a given second ODEs solution space are equal iff they share 2 boundary conditions
Can you prove or justify these statements? Can you find pathological situations where they don't hold? (Think about removable discontinuities)
>>11418578 #
Rotation=/=translational motion. A point on the outside diameter of the screw translates while the point while the center of the screw does not. Look up "instant center"