8y' - 5y = e^((-pi*t)/2), y(0) = a Let a0 be the value of a for which the transition from one type of behavior to another occurs. The critical value of a0 exactly. I find that y = (1/8)(e^(-pi/2)) + ce^(-5/8t). I'm lose after that.
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Originally Posted by lord12 8y' - 5y = e^((-pi*t)/2), y(0) = a Let a0 be the value of a for which the transition from one type of behavior to another occurs. The critical value of a0 exactly. I find that y = (1/8)(e^(-pi/2)) + ce^(-5/8t). I'm lose after that. Solve for C: $\displaystyle C = a - \frac{1}{8}$. Now I suppose you have to worry about what happens when C = 0, C < 0 and C > 0 .....
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