Does this differential equation setup look correct?

Thread starter Agnostic
Start date Dec 1, 2006
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Differential Differential equation

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SUMMARY

The discussion centers on the analysis of a differential equation setup, specifically addressing the indicial equation yielding positive k values. The user identifies that these positive k values will be used in the assumed solution form of Ae^-k.1x + Be^-k.2x. This leads to an unbounded increase in current, which contradicts the expected behavior of the system. The conclusion emphasizes the need to reassess the assumptions made in the solution process to avoid unrealistic outcomes.

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Understanding of differential equations and their solutions
Familiarity with indicial equations and their implications
Knowledge of exponential functions in mathematical modeling
Basic concepts of electrical circuits and current behavior

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Review the derivation of indicial equations in differential equations
Explore alternative forms of solutions for differential equations
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Investigate boundary conditions and their effects on solution behavior

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Dec 1, 2006

Agnostic

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Dec 1, 2006

Agnostic

The problem with it is that the indicial equation I get yields positive k values which will be plugged into my assumed form of solution which is Ae^-k.1*x + Be^-k.2*x.

This will mean current increases forever :(

...not true