I have 3 second order differential equations that need to be solved. I obtained them by separating the velocity vector into x, y and z components so that i can solve them separately. The parent equation and 3 equations can be seen in the image
- x is displacement
- v is velocity vector
- omega is spin
- w is wind vector
- derivative is taken w.r.t time
I have the following questions
Since each equation has all x, y and z components of velocity how can they be solved? They are not constant through time so should this be converted into a partial differential equation
What about |v-w| its scalar but changes with time?
How can this equation be solved for position x?