Using Hamilton’s equations, show that for any solution ρ(t) of Liouville’s equation that asymptotically approaches the...

Using Hamilton’s equations, show that for any solution ρ(t) of Liouville’s equation that asymptotically approaches the equilibrium solution ρ(eq), there is a time-reversed solution that diverges from it. What does this mean?

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genius_generous answered 1 year ago

Determine the equations for planetary motion using Hamilton’s equations.

Using the elastic collision equations show the detailed steps in deriving equation (1) Using the plastic...

Using the elastic collision equations show the detailed steps in deriving equation (1) Using the plastic collision equations show the detailed steps in deriving equation (2) (1) v'B = (mA / mA + mB + m) * vA (2) v' = (mA / mA + mB +m) * vA m is mass attached to mB use elastic collision equations to algebraically derive equation 1, and use plastic collision equations to algebraically derive equation 2 m is a mass attached to...

Using Θ-notation, provide asymptotically tight bounds in terms of n for the solution to each of...

Using Θ-notation, provide asymptotically tight bounds in terms of n for the solution to each of the following recurrences. Assume each recurrence has a non-trivial base case of T(1) = Θ(1). For example, if asked to solve T(n) = 2T(n/2) + n, then your answer should be Θ(n log n). Give a brief explanation for each solution. (a) T(n) = 5T(n/2) + n (b) T(n) = 4T(n/2) + n2 (c) T(n) = T(n/4) + T(n/2) + n

find the general solution of the equation using cauchy euler. show complete solution x^2 y" -...

find the general solution of the equation using cauchy euler. show complete solution x^2 y" - 3xy' + 3y = 2x^4 e^x

Find a particular solution to the differential equation using the Method of Undetermined Coefficients. x''(t)-2x'(t)+x(t)=96t^2e^t

Using the SSL values of T, p and ρ,calculate the standard atmosphere values at an altitude...

Using the SSL values of T, p and ρ,calculate the standard atmosphere values at an altitude of 22km using the equations and graphs. How do these values compare to the values found from the tables?

List examples of equations similar to the Pell's equation, ie. any Diophantine equation other then Pell's.

Find a vector equation and parametric equations for the line. (Use the parameter t.) The line...

Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (2, 2.9, 3.6) and parallel to the vector 3i + 4j − k r(t) = (x(t), y(t), z(t)) =

Let y(t) = (1 + t)^2 solution of the differential equation y´´ (t) + p (t) y´...

Let y(t) = (1 + t)^2 solution of the differential equation y´´ (t) + p (t) y´ (t) + q (t) y (t) = 0 (*) If the Wronskian of two solutions of (*) equals three. (a) ffind p(t) and q(t) (b) Solve y´´ (t) + p (t) y´ (t) + q (t) y (t) = 1 + t

1- Find the solution of the following equations. For each equation, 2- determine the type of...

1- Find the solution of the following equations. For each equation, 2- determine the type of the category that the equation belongs to. Separable equation, Homogenous equation, Linear equation, or Bernolli equation? 1. ydx − x ln xdy = 0 2. y ′ = (1+y^2) / (xy(1+x2)) 3. xy′ + (1 + y^2 ) tan^−1 y = 0 4. y ′ = (y) / (x+ √xy) 5. y ′ = (y−x) / (y+x) 6. tan x dy/dx + y =...

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