State the order of the given ordinary differential equation. cosh(4/y) - 5ln(18y)y" = 2cos(5yx) - y¹²y¹ + 4x (type your answer as a number in the space provided below)

Q: 5. Show that the following two matrices are not similar! (use similarity invariant table) ГО О 11 A…

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Q: • show that V(x,y) = x 'f (2x+y) is the general Solution of : Xav du 2X 1 = V dx ду

A: Let us consider the PDE P(x,y,z)∂u∂x+Q(x,y,z)∂u∂y=R(x,y,z) Solve the equation using Legendre…

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Q: Q3/If f(x)=x²+1 and g(x)=√x, find the composite function and its domain: (a) fog (b) gof

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Q: Find the wronskian of f1= x2-6x, f2=x2+6x, f3= x2-3

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Q: A transformation T: P₂ → P₂ is defined as T(Co + C₁x + ₂x²) = 3¢₁ + a₁x + (a₁ + α₁)x² a. Check if T…

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Q: Consider the following two player bi-matrix game 19 6 19 1 -10 21 B = 0 -8 -5 A = 7 12 6 2 14 16/ -9…

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Q: Solve each of the following integrals using integration by part: a) 3x² In 2x dx b) [5xsin 3x dx

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Q: Let C be the arc of the circle [2] = R from z = R to z = -R Where R is a positive integer greater…

A: Given C be the arc of the circle z=R from z=R to z=-R, where R is a positive integers greater than…

Q: show that V(x, y) = x 'f (2x+y) is the general Solution of X dv dx 2x dv ду = V

A: Let us consider the partial differential equation Pux+Quy=R Using the Legendre equation solve the…

Q: ind the Wronskian of: 18x - 6 18x + 6 6x - 18 6x + 18 f₁ = x² - 6x f₂ = x² + 6x f3=x²-3

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Q: Given Complete the venn diagram A = {4, 5, 20, 10, 5, 13, 15, 17, 12} B = {5, 7, 9, 12, 15, 14, 13,…

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Q: A third-order system is modelled by the state-space representation -2 -2 0 [10] x = 0 0 1x + 0 1u 0…

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Q: 7.5) A car, initially at rest, begins moving at time t = 0 with a constant acceleration down a…

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Q: Draw a direction field for the differential equation y' = −y(5 - y). Based on the direction field,…

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Q: Sv 4. 3-4x² dx

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Q: QUESTION 4 Calculate the area between y = 7 - x² and x-axis from x = -1 to x=2 as shown in Figure 1.…

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Q: For each of the differential equation determine the order of the equation and if the equation is…

A: Order of differential equation is the order of highest derivative in differential equation     a…

Q: If 0#x#1 in a field R, then x is an idempotent. to

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Q: 1. Find the Inverse Laplace Transforms of the following. 3s 2) -335-4 s²-4 2

A: Solution :  Given that  3ss2-4

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A: Let us consider the integartion I=∫ab∫f(x)g(x)∫p(x,y)q(x,y)F(x,y,z)dzdydx To solve the integral…

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A: Solution:-

Q: There is an inaccuracy in the following table of a low degree polynomial p(x). x p(x) 0.0 0.000 0.1…

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Q: By using the e- & definition, show that lim 2² + 1/{

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Q: Q2/ For the given function x² + y² = 4,find a) Domain and range for the function. b) Graph of the…

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Q: □ classify the following PDES :- 227 822 82 -2 +2 =x+3y дх2 буду дуг • x Uxx - 2xy Иxy +y uyy = e…

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Q: Number of man-hours and the corresponding productivity (in units) are furnished below. Fit a simple…

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Q: 5. Use Cartesian coordinates to evaluate Jff ² av JIJ where D is the tetrahedron in the first octant…

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Q: From the equation of x² + y² + z² = 25 and inside the equation x² + y² = 9 Calculate the volume of…

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Q: Q3/If f(x)=x²+1 and g(x)=√x, find the composite function and its domain: (a) f.g (b) gof

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Q: 1. Use centered-difference approximation to estimate the first and second derivatives of y = xex at…

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Q: Show your solutions to the following using Bisection Method and False Position Method. Write legibly…

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Q: 3. Integrate f 10(x+6) x² + 3x-10 2 dx by using partial fraction.

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Q: 5S² + 25-4 (5+1) (S+₂) (S+ 3) Taking Laplace transform

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Q: 55² +25-4 (S+₁) (S+2) (S+ 3) Taking Laplace transform

A: The given expression is                5s2+2s-4(s+1)(s+2)(s+3) First we shall write the given…

Q: what is the vertical intercept of (1,750) and (2,562.5)

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Q: f₁ = x4 f₂ = -x4 f3 = x² f4 = -x²

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Q: Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

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Q: 5. Consider the permutations f 1 2 3 4 2 1 3 4 on the set {1, 2, 3, 4). (a) Find fog and go f. (b) F…

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Q: Find the general Solution of the following PDES ди -5X -3x 17 9 = 2 ди +u, ucx;o) = ду + 2 е ax…

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Q: 3. Given a nonstandard basis of a vector space of a second-order polynomial as R³ is given as B = {1…

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Q: Given a function f: A→ R and a real number e that is a limit point of A. We say that ilm-f(x) = L…

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Q: 2. a) b) c) Let M be the pushdown automata (PDA) defined as: M = ({90, 91, 92]}, {a, b, c}, {A}, 8,…

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Q: Determine the values of r for which the differential equation y" - y = 0 has solutions of the form y…

A: Given differential equation is y''-y=0. We have to find r such that y=ert is solution of this…

Q: I. Find the general solution of the following: 1. dy - 2x²¹ dx y 2. dx = xy dx 3. dy = (6e³x + 1)dx…

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Q: 3. If $1000 is invested at 10% compounded continuously, the future value S at any time t (in years)…

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