How Do You Choose Initial Conditions for Coupled Linear Differential Equations?

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Choosing initial conditions for coupled linear differential equations involves understanding the system's dynamics and ensuring the conditions reflect realistic scenarios. Initial conditions should be based on the physical context of the problem, such as equilibrium states or boundary conditions. It's important to consider the stability and behavior of the system when selecting values for x1(0) and x2(0). Sensible choices often stem from empirical data or theoretical predictions related to the system's application. Properly selected initial conditions can significantly influence the system's evolution and solution behavior.
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Hi

can anyone tell me how I can chose/investigate some sensible initial condition for a coupled linear system of linear differential equations?

x*=Ax where (x1(0) x2(0))=(a,b)

Thank you
 
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sssspppp said:
Hi

can anyone tell me how I can chose/investigate some sensible initial condition for a coupled linear system of linear differential equations?

x*=Ax where (x1(0) x2(0))=(a,b)

Thank you
Can you clarify what you're asking?
 

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