Higher-Order Differential Equation
General solution
Transform into
and integrate 
times.
For
, we have separate variables.For
, we use the transformation
General solution
General solution
Consider
. Using the transformation 
, we have:
Solving the above, we obtain:
Eliminating
.
General solution
Considering
,
, and the order is reduced by 1.
Using
,
In some cases, it is possible to find the solution by repeating this process.
General solution
Considering
,
·····
Substituting into the equation, we obtain:
which is a differential equation of the
order. [0]Top