When I have a differential equation like
DSolve[{
x'''''''[t] == d7,
x''''''[0] == d6,
x'''''[0] == d5,
x''''[0] == d4,
x'''[0] == d3,
x''[0] == d2,
x'[0] == d1,
x[0] == d0},
x[t], t]
I can easiliy solve for x[t]. When I look for x'[t], x''[t] or some higher order derivative I would have to rewrite the expression by moving the d#'s one line down so x[t] becomes x'[t], but this generates a lot of code.
Is there a command for getting x'[t] and so on directly? I didn't find a hint in the documentation... With NDSolve it is easy, but with DSolve I'm stuck.
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