8t Given the second order ODE y"+6 sin(5t)y' 4e"y = cos(8t). - A. Convert it into a system of first order ODES. B. Write the system in matrix-vector form.

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Q: 2. (a) (b) dx dt = -14x +39z; dz dt = -6x + 16z For the system above, define matrix A and vector X…

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Q: Why can we not write the following predator prey model in matrix form X'(t) = AÑ(t)? x'(t) = ax(t) —…

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Q: 2 x² (+) = 2x²x² + x₁x² ² X2(t) = x, SIN(X2) + X₂ cos(x₁) Find the Jacobian of the system

A: We have to find the Jacobian of the system.

Q: Rewrite the ODE y" = y" + y +t² as a system of first-order ODES. Solve the system y' = 3x, x' =x+ 2y…

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Q: Which of the following is True about the system (**4)(x+2)»" + (x= 2)»´ - 4y = 0 OA.X = ±2i is not…

A: Thanks for the question :)And your upvote will be really appreciable ;)

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Q: dx = 4x +2y+e'+t dr Write the system in matrix form: dy - 2x - y+ 3e' di 4 A. X'= 1 4 B.X' = 2 -1 3…

A: We have to find the system in matrix form.

Q: Transform the following equations into a system of first order equations. t²u" + tư' + (t2 – 0.25)u…

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Q: Consider the system of linear ODES The system of equation written as y' (t) = Ay(t), where y(t) =…

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Q: Consider the system of equations dx1 = 2t°x1 + 7e-2tx2 + cos(t) dt dx2 1t?x1 + 6e-2x2 + sin(t) dt…

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Q: 11. Write the system in matrix form x' = 3x – 4y + z + t, y' = x + 2y – z + t², z' = 6y – 7z + t3

A: the matrix form of the given system of equation is ...

Q: Part II. Writing the equation d² dt2 in the form of the system dx d dt (c) (d) (e) = V, = x³ + x², X…

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A: note : Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: 1. Consider {{:] [} } {{:} [} } 1 2 -2 1 B = B' 1 4 1 (a) Show that B and B' are bases of R³. 9 (b)…

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Q: 1. Consider -{{:} [}| } --{} [} E} B = B' = 1 1 (a) Show that B and B' are bases of R³. 9 (b) Find…

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