From this question that they answered, can you explain where the 1261 came from please, thank you
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- 13. The standard form of 3dy-xydx = 3y3e4x/3 by Bernoulli's equation is:Suppose that the position of one particle at time t is given by x1 = 3 sin(t), y1 = 2 cos(t), 0 ≤ t ≤ 2? and the position of a second particle is given by x2 = −3 + cos(t), y2 = 1 + sin(t), 0 ≤ t ≤ 2?. (a) Graph the paths of both particles. How many points of intersection are there? __ points of intersection (b) Are any of these points of intersection collision points? That is, are the particles ever at the same place at the same time? If so, find the collision points. (Enter your answers as a comma-separated list of ordered pairs of the form (x, y). If there are no collision points, enter DNE.) (x, y) =__ (c) Describe what happens if the path of the second particle is given by x2 = 3 + cos(t), y2 = 1 + sin(t), 0 ≤ t ≤ 2?. The circle is centered at (x, y) = __ There are _ intersection point(s), and there are _ collision point(s).The solution of some second order linear DEQ is exp(-7x)[5sin(1x)+ 7cos(1x)] which can also be expressed as A*exp(-D*x)*sin(F*x+G). Determine A,D,F, and G (degrees).
- the indicated functions are known lin-early independent solutions of the associated homogeneousdifferential equation on (0, ). Find the general solution ofthe given nonhomogeneous equation.Show that the path given by r(t) = (cos t,cos(2t), sint) intersects the xy-plane infinitely many times, but the underlying space curve intersects the xy-plane only twice.A particle moves in the xy-plane in such a way that its path is defined by x = et cos t and y = et sin 2t. Find the speed of the particle when t = /2.
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- After seeing the additional solution for Fx(x,y), shouldn't it be -2sin(e2x) instead of positive 2sin(e2x) since it is Fx = 0 - sin(e2x)(2)Solve the problem from class: y'=y^(1/3) with y(0) = 0. How many solutions are there? How does that fit with the uniqueness and existence theorem? Help me fast pleaseSuppose that a cylindrical tank has height 10 m, the radius of the base is7 m, and it is half-filled with water. Find the amount of work necessary tomove all of the water out of the top of the tank 5 m above the top of thetank.