Unformatted text preview: the function which gives the amount of salt in the tank at time t . 5. Use the eigenvalue/egenvector method to ﬁnd the general solution to the system x 1 = 3 x 14 x 2 x 2 =2 x 1 + 5 x 2 . 6. A 3foot long rod is made from a mysterious substance from Uranus, which has thermal diﬀusivity constant α 2 = 2. The initial temperature in the rod is given by 4 x for 0 ≤ x ≤ 3. Both ends of the rod are held at 0 degrees C. Write the BVP whose solution u ( x,t ) gives the temperature in the rod at point x and time t , and then solve it. (Give the ﬁrst 4 nonzero terms of the solution.)...
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 Spring '08
 Fonken
 Differential Equations, Equations, Imperial units, Tank, general solution

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