Prove valid 1. (x) (~Ax v Fx) / (x) (~Gx--> ~Ax) 2. (y) (~Fy v (~Cy v Gy)) 3. (v) (~(~Cv--> ~Fv) --> ~Av)
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2. Prove valid
1. (x) (~Ax v Fx) / (x) (~Gx--> ~Ax)
2. (y) (~Fy v (~Cy v Gy))
3. (v) (~(~Cv--> ~Fv) --> ~Av)
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- 7). but you have not said if the diverges test applies or not . please xeplain the final solution ?Solve for y2 by using reduction of order And for nonhomogeneous using undetermined coefficients linear mathematicsFind the perticular number or orthogonal trajectories of x2+cy2=1 passing through the point (2,1)
- construct a suitable Liapunov function of the form ax2 + cy2, where a and c are to be determined. Then show that the critical point at the origin is of the indicated type. 2.dxdt=−x3+2y3,dydt=−2xy2; stable (at least)dxdt=−x3+2y3,dydt=−2xy2; stable at leastGeneral Directi0n: F0r activities that inv0lve s0luti0n to problems, perform the steps in conducting hypothesis testing such as stating of problems and hypothesis, and so on.At time 0, M is deposited into Fund X, which accumulates at a force of interest δt = 0.006t2(0.006 t square). At time m, 2M is deposited into Fund Y, which accumulates at an annual effective rate of 10%. At time n, where ? > ?, the accumulated value of each fund is 4M. Determine m.
- 2. Give an example showing that, even if f0(c) = 0, it could happen that f(x) does not have a localmaximum or minimum at x = c. How is this consistent with Fermat’s Theorem in the book?Find the general solution of the equation using the Cauchy–Euler law.Explain how successive over relation is obtained from the Gauss-Seidel method.