1) solve the following differential equations: a) (2x²³x+ sin (1/2-½x) + y ) dx + (x²y-x) dy = 0

Q: Find the equation of the straight line parallel to the line 2x + 3y = −4; containing the point (−5,…

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Q: Let y(t) denote the solution of the given initial value problem. Is it possible for the…

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Q: Use the following information to answer the questions. The height, h, in metres, above the ground of…

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Q: C o n s i  d e r      t h e         p  a r a b o l a   C   :   z   −   4   =   − ( x   −   2 ) 2   o…

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Q: Show that the differential equation x²y³ + x(1 + y²)y' = 0 is not exact, but becomes exact when…

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Q: Solve using a. Gaussian elimination and b. Gauss Jordan elimination methods 2x₁ + 6x2 + x3 = 7 X₁ +…

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Q: 30 *.The equation (y"+x3y'+y=0)is............ differential equation Non Linear,2nd order, Non…

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Q: s(t) c) Yp = Asin(2t) + Bcos (2t) d) yp b) yp= Atsin(t) + Atsin(2t) + Btcos(2t)] Q13) The general…

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Q: Qs) Find the result of the following: 1. (3-4)³=? (Put your result in polar form) 2. 0.602×(9/2) =?…

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Q: Use Newton's method to approximate all the intersection points of the following pair of curves. Some…

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Q: a) Determine whether or not the given vector field is conservative. b) Determine the interpretation…

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Q: Suppose the control problem is The Hamiltonian function will be given by Maximize √ (y + 4u)dt…

A: As per the question we are given a optimal control problem, where we have to find the Hamiltonian…

Q: Name: MPM2D-Circles Quiz /10 A circle that has a radius of 4.3 units and is centered at (0,0) is…

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Q: Solve the following LP problem using graphical method. Max z = 3x₁ + 4x₂ Subject to 2x₁ + x₂ < 10 x₁…

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Q: A forest has a population of cougars and a population of squirrels. Let a represent the number of…

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Q: A. Given the set of equations below, 17x+6y+4z+5t=17 8x+22y+2z+4t=20 6x+3y+17z+7t=11 3x+4y+7z+19t=22…

A: Converting the given system to Augmented matrix form we get: [1764517822242063177113471922] now we…

Q: Q16) L-¹ (5-3)²+25) = a) est sinst 5 b) est sin3t 5 -at sint d) eatsinst

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Q: in fuzzy graph What is the fuzzy cycle ? And give an examples

A: Answer

Q: (d) Determine the right cosets of ((1 2), [1]) € S3 x Z2.

A: I just used the definition  of cosets

Q: y t dy + 5x + 3y

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Q: W Exercises Find the approximate solutions of the initial value problems using successive…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Give an equation for a transformed sine function with an amplitude of a period of, and a vertical…

A: In the given problem we have to find an equation for a transformed sine function with an amplitude…

Q: Q24) The Integrating factor wh a) e-3x b) est Q25) L-1 = -2s S²+1² c) ex a) -2coshnt d) e3x b)…

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Q: b.) √4-1²-² √3x²+3y² TEN nates. z dz dy dx from Cartesian coordinates to spherical coordi-

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Q: Given y=; x²+1 1-x² a) Intercepts; b) Asymptotes and Behaviour; c) Intervals of Increase and…

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Q: x 2y V. Consider the lines : *+1-2/4/ = 2z - 6 and m: x= -1 + 10t, y = 7t, z = 2+t. 5 7 1. Determine…

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Q: 4. Σ( 11-13) π n=1

A: We have to determine whether the given series (4) is convergent or divergent. As in Question only…

Q: Consider the following linear programming problem: Max 3A + 3B s.t. 2A + 4B ≤ 12 6A + 4B ≤ 24 A, B≥…

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Q: (a) Define a metric space (X, p). (b) Let p: R+ → R+ be a function defined by ln (2). Prove that p…

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Q: Q3) Determine using Cauchy Riemann equations the function below is analytic or not in z-plane? f(z)…

A: Given function is fz=z3x+iy

Q: (b) Prove or disprove: Z10 ~ Z5 x Z₂.

A: We shall solve first question only as you have asked more than one unrelated question. For others…

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Q: Write the equation of each quadratic relation in vertex form. a. -6 b. NA- -6 6 2 2

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Q: A. Given the set of equations below, 17x+6y+4z+5t=17 8x+22y+2z+4t=20 6x+3y+17z+7t=11 3x+4y+7z+19t=22…

A: Let us use LU Factorization or Decomposition using Gaussian Eliminations to determine the unknowns…

Q: 11. How many solutions are there to the equation x₁ + X₂ + X3 + X₁ + X5 + x6 = 29, nonnegative…

A: We have given equation: x1+x2+x3+x4+x5+x6=29

Q: Compute for the sum. Answer directly. Lore ΣΣ (-)) i=1j=1

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Q: Q21) 2¹ (1) a) cosht-1 b) 1-cosht 2.2 c) (cosh2t - 1) d) (1-cosh2t) 0+20 th 21 (2)

A: Given problem L-1 1ss2 -1

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A: The linear program using the Simplex method as,

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A: Given that a customer purchase $28.14 in products only $12.83 is taxable. Also given that the tax…

Q: hat is the limit as n goes to infinity of the power series (log n)2/nxn ?

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Q: Consider the surface r²+y²+2ry-3x+2y-2z=1. Determine the following: (a) the general equation of the…

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Q: (b) Given two groups (G,) and (H, +). Suppose that is a homomorphism of G onto H. For BH and A:{g…

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Q: Use the results of Problem 14 to find power series solution for the famous Gaussian integral below…

A: Solution :-

Q: Q5) e-st dt = b) 0 Q6) If you know that the radius of convergent of the series method for the ODE…

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Q: (z-4)² y² 2²- 3x² = 1. Let S be the quadric surface with equation 4 3 1. Give an equation of the…

A: We know that the traces of a quadric surface are the curves representing the intersection of the…

Q: Transportation Model (Optimal Feasible Solution) Minimize: C = 15x₁a + 24xıb + 12xic + 19x1D + 10x2A…

A: The following steps are used to obtain the optimal solution of the given transportation problem.…

Q: Consider the following 2 planes: ?1: 2? − ? − 4? − 4 = 0                   ?2: 4? − 2? − 3? = 3…

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Q: 9. Show that is a two-dimensional vector Ai = -x2 X1

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