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.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

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step-by-step explanation:

the answer is c.

step-by-step explanation:

step-by-step explanation:

we can use this expression to calculate the energy gain as a particle moves with a field or the energy loss as it moves against it. (note that it is also used to define the electron-volt, a unit of energy equal to that gained by an electron as it falls through a pd of 1 v, i.e. w = 1 ev = 1.6 10-19 c 1 v = 1.6 10-19j).in fact this expression is really nothing more than the statement that potential is the potential energy per unit charge. in this case, v= w/qis simply stating that the change in potential energy(or work done) per unit charge is equal to the change in potential (or potential difference), v.student questions: uniform electric fields2electron beamcathode+5 kvanode0 v