MATHEMATICA TUTORIAL
Clairaut Equations
A Clairaut equation is a first-order equation of the form
A remarkable feature of this nonlinear equation is that its general solution has a very simple form.
This is an example of a Clairaut equation. The warning message from Solve can be ignored. It is given because DSolve first tries to find an expression for
from the given ODE.
The general solution to Clairaut equations is simply a family of straight lines.
| In[2]:= |
| Out[2]= | ![]() |

