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Solve Ordinary Differential Equations and Systems
Each independent condition removes one integration constant:
ode::solve({y'''(x) = y'(x)}, y(x))
ode::solve({y'''(x) = y'(x), y(0) = 0}, y(x))
ode::solve({y'''(x) = y'(x), y(0) = 0, y(1) = 1}, y(x))
ode::solve({y'''(x)=y'(x), y(0)=0, y(1)=1, y'(0)=1/2}, y(x))
Special Types of Ordinary Differential Equations
Suppose, the equation you want to solve belongs to the Clairaut type:
o:= ode(y(x) = x*y'(x) + y'(x)^3, y(x)):
solve(o)
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