4. For each of the following systems of differential equations, find the general solution and then sketch the phase portrait (i.e. graphs of solutions viewed in the phase plane) without using technology. -4x – 2y 4x + 2y dx 2x + y (b) (c) (a) -x - 3y x+3y x + y 4x - 2y (e) (f) !! (d) -4x -y 2x - y %3D -2x + y -3x - y 2x (g) (h) 6x+y 2y Il || I || Il I|

Q: Solve the system of differential equations [x'= -531x + 924y y=-304x + 529y x(0) = -113, y(0) = -65…

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Q: Find the general solution or unique solution for the following equations. For the fullcredit, your…

A: There are more questions in the image you have attached. But you have marked a blue line to the…

Q: Solve the following system of differential equations: r(t) = 4x₁(t) = x₂(t); x₂(t) = − x₁(t) +…

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Q: The solution of the differential equation V y +2y +y=2e* using the method of reduction of order is

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Q: Solve the system of differential equations x' - 95x + 36y y' = – 264x + 100y 2(0) 3D — 6, у(0) — —…

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Q: Solve the system of differential equations [x'= 26x+88y \y'= -6x - 20y x(0) = -22, y(0) = 6 x(t) =…

A: Our objective is given below:

Q: Solve the system of differential equations x' = 3x + Oy y' = 12x + ly - 2 (0) %3 3, у(0) 3D 10

A: given difference equation x'=3x+0yy'=-12x+y with initial condition x0=3 , y0=10

Q: x1(t) Let x(t) = be a solution to the system of differential equations: x2(t) a(t) x½(t) -23 x1 (t)…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.