Solve the initial value problem у) + у" — 7у" —у' + бу %3 0, у(0) 3 5. у'(0) 3 —6, у" (0) — 10, у" (0) — 36.
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- 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.7. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.7 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 3 Food C 1 1 12.1 Provide solution for d,e,f parts Last 3 partssolve the seed value problem xy '' - y = 0 , y(2)=0, y'(2)=3
- 2.1 Last 3 parts Provide solution for d,e,f partsA man launches his boat from point A on a bank of a straight river, 3 km wide, and wants to reach point B, 8 km downstream on the opposite bank, as quickly as possible. He could row his boat directly across the river to point C and then run to B, or he could row directly to B, or he could row to some point D between C and B and then run to B. If he can row 6 km/hr and run 8 km/hr, where should he land to reach B as soon as possible? (Assume that the speed of the water is negligible compared with the speed at which the man rows). A man launches his boat from point A on a bank of a straight river, 3 km wide, and wants to reach point B, 8 km downstream on the opposite bank, as quickly as possible. He could row his boat directly across the river to point C and then run to B, or he could row directly to B, or he could row to some point D between C and B and then run to B. If he can row 6 km/h and run 8 km/h, where should he land to reach B as soon as possible? (We assume that the speed of the water is negligible compared with the speed at whichthe man rows.)