y(x2 + y? – 1)dx + x(x² + y² + 1)dy = 0 У (2x2 — ху + 1)dx + (х — у)dy %3D 0 x2 + y2 dy 1 dx 3y2(x3+y3)2 ||

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Q: Q4)(a) Find the maximum eigen value for the system A = with initial vector x' (0) = (0.0299 1)

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Q: Hiwg Solve U tt= 16 Uxx h= k cat) = U (5,t)20 u (5,t). u(X, o)= X (5-X

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Q: Hiws slove du 4 dt %3D dx2 u(6,t) = L (8,t)=0 U(x, a) =0 : =4X-()x²

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Q: 8. The general solution of y" + 4y = 3 sin 2x

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Q: (b) Perform the Gram-Schmidt orthogonalization process for u = x +1, u2 = x² + 3, u3 = Va using the…

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Q: Verify that the given functions are linearly independent by evaluating the Wronskian at a = 0. {e2a…

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Q: II. Consider the function g defined by 1 g(x, y) = cos (Tx VT) + log3(x – y)" Do as indicated. 1.…

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Q: Q5) Solve the equation with y (0,1) = y (1,1) = 0 y (x,0) = sin x ! = 0,0 sxSI 8. ду (х .0) and…

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Q: If 1 <p< o then P is separable.

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Q: 00 y 8 6- 21 2. 4. 6 8. (b) Find the number c that satisfies the conclusion of the Mean Value…

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Q: 1. Solve the linear system using Jacobi and Gauss-Seidel Method 2л — у 3 2 x – 3y + z = -2 -x + y –…

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Q: Give the Taylor polynomial of order n e N about 0 for f(x) = e".

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Q: 4. Find the isolates singularities of the following functions, and determine whether they are…

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Q: U (at) =U ( 5,t) = Hiws Solve Utt = 16 Uxx %3D 4 u (5,t)=o 二D U t CX10) = o u (X, o) = X (5-X

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Q: Q3) Solve the following boundary value problem using finite difference method dy +2y = 0 dx y(3)=…

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Q: Given: region R below bounded by the graphs of y = Vx – 3, y = 9 – x, and y = 0. (7,2) R (3,0) (9,0)…

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Q: (b) Let A be a 3 x 3 real symmetric matrix with three distinct real eigenvalues. It is known that…

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Q: Find the general solution of dy/dx= e^3x+2y

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Q: Estimate the true percent relative error for the first derivative of the function, y = e*cos(x?), at…

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Q: Q4) Solve the boundary value problem y -- 3y' + 2y = 0 with y'(1) = 1 , y(3) = 2e* – e? h = 0.5 %3D…

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Q: Kim is having a party for 24 people and is serving hot dogs. Each person will eat 2 hot dogs. How…

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Q: The value of the triple integral (x² + y)dV where E is the E portion of x + y + z? = 4 with 0 < y,…

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Q: 1.0 Solve by Gauss Seidel Method 3x-y+z=-1 -x+3y-z=7 x-y+3z=-7

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Q: Problem 23. Answer using Cauchy's Theorem. Given that C is a simple closed path, evaluate each of…

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Q: (b) Perform the Gram-Schmidt orthogonalization process for u = x +1, u2 = x? + 3, u3 Va using the…

A: b. Given that               u1=x+1, u2=x2+3, u3=x Using Gram-Schmidt orthogonalization process for…

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Q: Use the Cubic interpolation and the following data to find f(1.1) XF(x) 1 0.368 1.2 0.301 1.3 0.273…

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Q: 3A 4-ft resource is 8ft long of ter hanging a mass weighing &1bS. The the system moves offers a…

A: The Newton's second law for the system is, md2xdt2=-kx-βdxdtmd2xdt2+βdxdt+kx=0d2xdt2+βmdxdt+kmx=0…