Can an IVP have conditions imposed of the same order?

Question

mendicant_bias · Answer

Like, if I had some given IVP, and my conditions were, $$y(0)=a, \ y(5)=b, \ y(3)=2;$$Is that even allowed in the first place? I know you can do that with a BVP, but I don't know about an IVP.

mendicant_bias · Answer

@Concentrationalizing @bloopman

anonymous · Answer

Yeah, sure, but I don't see how that's very useful or necessary anyway

anonymous · Answer

You only need one to complete an IVP

anonymous · Answer

Right, as long as you can find a solution that satisfies one of the initial conditions, the other unknown constant can be anything. So let's say you have a solution like 
$y = c_{1}\cos(x) + c_{2}\sin(x),\  y(0) = 1, y(\frac{\pi}{2}) = 5$ Well, just plugging in the first initial condition, you'd get c1 = 1. That's all you need. You know that condition gives you a solution, so make c2 whatever you feel like, the solution will still satisfy the conditions.

mendicant_bias · Answer

Alright, thanks.

anonymous · Answer

Yw