Return
Note: make a graph of the solution for each solved problem.
- Solve the Cauchy equation
by taking 
as the new independent variable.
To eliminate x, use the chain rule of differentiation as in
and once more to find y'' in terms of dy/du and 
.
Please do not indicate dy/du also by y'! Solution:
- Solve the aerodynamically damped spring-mass system
by taking y as the independent variable and 
as the
dependent variable. To eliminate the remaining dt,
(in 
), use the chain rule of differentiation. Solution:
- Solve the motion of a falling body with aerodynamic drag:
Solution:
- Solve the equation for the streamfunction in a Stokes boundary layer:
Note that y=x is one solution.
Solution:
Author: Leon van Dommelen