4 Classify the equilibrium is x = [0,0] for the first order system d x₁(t) 2 a [228] - [ 1 ² ] [ 28 ] = 10 6 (t) (t)

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A: The given system of equation is around the point .To find  with  that satisfies the equation.If  is…

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Q: Write the given system in the form x' = P(t)x + f(t). x' = - 8y y' = 5x X' 0-40-4 y' y

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Q: Solve homogeneous system of equations: x' (t) = −4x(t) + 3y(t) y' (t) = x(t) — 5y(t)

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Q: Show that the system can be written as X′=−∇L. (This system is the “Gradient System” for L.)

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Q: y" -y-2y 0. Assume that y, (t) = e and y2(t) = e" forma fundamental set of solutions. %3D (b) Let y3…

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A: Differentiating the given equation we get      v"(t) = 0 - 5v'(t) -120(h'(t)/m)              =…

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A: output of C/D block will be:

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Q: F- -(0) = 2, y(0) = – 14 æ(t) = y(t) =

A: We have to solve the given system.                                          x'y'=21-41-8xy with…

Q: Let P Enter your answers in terms of the variable t. = (t) 2t-2 L-21-2 = [t2-2t 2t 1-2t ¹+2t…

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Q: [3 Solve the system X'= Ax, where A = Classify the equilibrium at the %3D 9 -3 origin.

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A: Given y''=δt-1-δt-3, y0=y'0=0

Q: d/dt ŷ = [3 1] ŷ, ý(0) = [8] [-2 1] | [6]

A: Given that dy^dt=31-21y^ with initial condition y^(0)=86 Let A=31-21 and eigenvalue of A is λ. Then…

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Q: Consider the equation y" y' - 2y = 0. Assume that y₁ (t) = e' and y₂(1) (b) Let Y3 (1) Y4 (t) = y₁…

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Q: 2.c) Eliminate the Arbitrary Constants in the equation: * y – x = C1e* + Cze-2* -y" - y + 2y - 2x +…

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Q: (a) Determine if the following sets of functions are linearly dependent or linearly independent on…

A: We are entitled to solve only one question at a time. Please post other questions separately. To…