hws2spring08

hws2spring08 - Differential Equations/Linear Algebra - MTH...

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Unformatted text preview: Differential Equations/Linear Algebra - MTH 2201/2202 Homework 2 Name: 1/15/2008 1. (i) y(t) = 1 3 + c e-t 3 (ii) y(t) = t sin t - t2 cos t + c t. (iii) y(t) = 1 t e 2t2 + c -t e . t2 (iv) y(t) = cos t ln | sec t + tan t | + c cos t. (v) y() = -cos +c . sec +tan 2. (i) T (t) = Tm + (T0 - Tm )ekt . (ii) x(t) = t ln t-t+21 . t+1 (iii) y(t) = 2 e1-t - 1. 3. y(t) = et (1 + 4. y(t) = et ( 2 2 erf (t)). u2 0 e du 2 - + erf c(t)). 2 1 ...
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