I just looked at the equation again, it is suppose to be: dy/dx = m*x + b - k*y^2 where m is multiplied by x. However, can both sides be multiplied by dx such that dy = (m*x + b - k*y^2) dx where the right hand side can be integrated with respect to x. Then both sides are divided by the...
I am having trouble solving the following nonlinear first order differential equation:
dy/dx = mx + b - k*y^2
The variables m, b and k are constants.
I have had DE in school, but it was mostly linear first order, so I am not sure how to solve this one. Someone has recommended...
If I am running in a straight line, and I am experiencing kinetic friction that is proportional to my weight, i.e. my normal force, then when I run around a curve, does my normal force increase by my velocity squared divided by the radius of the turn as if it were a perfect circle (...