The nonlinear system has a critical point at (0,0). dx/dt = -x dy/dt = -(4x^3) + y find the linearized syste at (0,0) and classify the critical points. Sketch the phase plot

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Q: Solve for x, correct to 3 decimal places. a) x = log317 b) log₂0.35 = x

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Q: Ju ди Ət - (t,x) - kar2(t, x) = 0, + > 0, x ∈ [0, L] u(t,0) = u(t, L) = 0, = : D) u(0, x) = ug(x).

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Q: д и д12 - ди Ər2(t, x) = 0, t 2 0, x ∈ [0, L] u(t, 0) = u(t, L) = 0, u(0, x) = uo(x), : ди -(0, x) =…

A: Given PDE is the following :We have to solve it using separation of Variables method .Let , By…

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Q: Question 3 Let z + 3 (Z-0.7)(2+0.5) x (z) = - 121 >0.7 (1) Use partial_ fraction expansion to…

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Q: Maclaurin series

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Q: Let A = A basis for the kernel of A is 9 3 -12 - -9 -3 -3 -1 12 4 - Find a basis for the kernel of A…

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Q: 3. Find the Fourier Series expansion coefficients of the following periodic function: 1 if 0≤t<n/2…

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Q: The Laplace Transform of cos(√at + 3). s cos 3+ √a sin 3 s²+a a. b. s cos 3-√asin 3 s²+a C. S s²+a +…

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Q: If y = (x + 1)(2x - √x), then y' will be 1 A. (x + 1) (2 − √x) + (2x − ——) 2√x B. (x+1) + (2x- √x)…

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Q: Y=0 Y=2 Y=4 Y=6 Y=8 X=0 100 85 70 55 40 X=2 90 64.49 48.9 38.78 35 X=4 80 53.5 38.43 30.39 30 X=6 70…

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Q: Find the second-degree Taylor polynomial for ƒ(x) = 2x² - 7x + 5 about x = 0. P₂(x) = What do you…

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