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DEtools[ode_int_y] - given the nth order linear ODE satisfied by y(x), compute the nth order linear ODE satisfied by int(y(x),x)
DEtools[ode_y1] - given the nth order linear ODE satisfied by y(x), compute the nth order linear ODE satisfied by diff(y(x),x)
Calling Sequence
ode_int_y(ode, y(x))
ode_y1(ode, y(x))
Parameters
ode
-
ordinary differential equation satisfied by y(x)
y(x)
unknown function of one variable
Description
Given a nth order linear ODE for , the ode_int_y and ode_y1 commands respectively compute the nth order linear ODE satisfied by and .
Examples
For enhanced input output use DEtools[diff_table] and PDEtools[declare].
Now, if satisfies
then the derivative of satisfies
and so, the integral of the function in the equation above satisfy this other ODE (the starting point)
See Also
DEtools
Download Help Document
