User:Egm6321.f11.team2.rho/HW5

=R*5.4- Find $$\displaystyle y_{xxxxx} $$=

Given
A new variable (i.e. t) is introduced from current variable (i.e. x) in Euler Ln-ODE-CC. The transformation of variables is

Find
Find $$\displaystyle y_{xxxxx} $$ in terms of the derivatives of y with respect to t.

Solution
With the transformation of variables in Euler Ln-ODE-CC

We can obtain the derivatives of y with respect to x in terms of the derivatives of y with respect to t.

Finally,