Mathematics, 26.11.2019 22:31 moran14
Similar to problem 8 of homework 9, use the method of eigenvalue and eigenvector to solve the following system of differential equations. dx1 dt = −x1 + 4x2 + 2x3 dx2 dt = 4x1 − 1x2 − 2x3 dx3 dt = 0x1 + 0x2 + 6x3
that is, write the above system in matrix form x0 = ax, then find a matrix p such that p −1ap = d, where d is some appropriate diagonal matrix.
after that, use the substitution x = p y to decouple the system into differential equations in y, solve that system, and convert it back to x.
Answers: 1
Mathematics, 21.06.2019 18:00
In triangles abc and wxy, a=w and b=x which of the following must be true to prove abc=wxy by the aas theorem? a.ab=bc b.bc=xy c.ab=wx d.
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Mathematics, 21.06.2019 18:30
The volume of gas a balloon can hold varies directly as the cube of its radius. imagine a balloon with a radius of 3 inches can hold 81 cubic inches of gas. how many cubic inches of gas must be released to reduce the radius down to 2 inches?
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Mathematics, 21.06.2019 21:30
Aroulette wheel has 38 slots in which the ball can land. two of the slots are green, 18 are red, and 18 are black. the ball is equally likely to land in any slot. the roulette wheel is going to be spun twice, and the outcomes of the two spins are independent.the probability that it lands one time on red and another time on black in any order is(a) 0.5 (b) 0.25 (c) 0.4488 (d) 0.2244
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Similar to problem 8 of homework 9, use the method of eigenvalue and eigenvector to solve the follow...
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