Solving IVP without Initial Equation: Step-by-Step Guide

[cue928]

Hey, I need some guidance on an IVP. In general, how do you proceed on these types of problems when you have only the initial values but no initial equation? For example, I have
x1(0)=1 and x2(0)=0 but that is it. I understand, for example, how to do IVP's in the context of separating variables, exact, laplace, etc, but I have no clue how to proceed on this.

 

[Mark44]

Hey, I need some guidance on an IVP. In general, how do you proceed on these types of problems when you have only the initial values but no initial equation? For example, I have
x1(0)=1 and x2(0)=0 but that is it. I understand, for example, how to do IVP's in the context of separating variables, exact, laplace, etc, but I have no clue how to proceed on this.

That's really all you are given? If so, what you have is a single point in the x₁ - x₂ plane at (1, 0).