Hi. I have this problem, which says: The equation (p and q constants) is called Euler equation. Demonstrate that the change of variable transforms the equation to one at constant coefficients.
I haven't done much. I just normalized the equation:
What should I do now? I thought instead of doing , then may be this is the right way, cause it seems more like following the problem suggestion.
Just to be clear the expressions on the LHS, y' and y'', are in terms of x ie y'(x) and y''(x) whereas the RHS is describing the derivatives in terms of u.
Now change x into in the differential equation and plug in your new expessions for y' and y''. What does the new equation look like?