- #1
hanson
- 319
- 0
Hi all.
Can the general solution of a linear ordinary differential equation be expressed in terms of its initial conditions?
It seems that I have seem this kind of representation.
It makes "some sense" to me but I hope to know if there is some "proof" or explanation of why it can be?
To be specific, for a n-th order ODE,
the solution is something like
y = y(xo)(something) + y'(xo)(something) + ... + y(n-1)(xo)(something)...
why?
Can the general solution of a linear ordinary differential equation be expressed in terms of its initial conditions?
It seems that I have seem this kind of representation.
It makes "some sense" to me but I hope to know if there is some "proof" or explanation of why it can be?
To be specific, for a n-th order ODE,
the solution is something like
y = y(xo)(something) + y'(xo)(something) + ... + y(n-1)(xo)(something)...
why?