6. Sketch the vector lield diagrams of the following systems of differential equations in the (r, y)-plane (a) :- 8y l = -x+3y = x - (b) Ja' = 2x – 4y le = x – 2y %3D (c) = -12.x – 18y = 5x – 6y

Q: b) Solve the given system of differential equation by laplace transformation dx = x - y dt dy — 5х —…

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Q: If y₁ and y2 are linearly independent solutions of ty" + 2y' + te³¹ y = 0 and if W(y₁, y₂)(1) = 4,…

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Q: 6. Find the general solution of the linear differential equation (2D² +7D – 15)y = 0. A) y=c,e"²…

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Q: If y, and y₂ are linearly independent solutions of t^2y" + 5y' +(2+t)y = 0 and if W(y₁, y₂)(1) = 3,…

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Q: If y₁ and y2 are linearly independent solutions of t2y" + 4y + (5 + t)y = 0 and if W(y₁, y2)(1) = 5,…

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Q: rewrite the following second order linear equation into of two equations. y'' + 5y' - 6y = 0

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Q: 3. Classify the given partial differential equation as hyperbolic, parabolic, or elliptic. ә2u ә2u…

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Q: Consider the direction field of the differential equation dy/dx=xy-8)- 7-9. y 7 YND but do not use…

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Q: Q1/ solve the differential equation - 24 - 2xy with initial condition y(1) = 1.

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

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Q: ди +5: + 6у — Зх + 4 ду? ду

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Q: 7. In class, we learned about the predator-prey system of differential equa- tions. Here's a system…

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Q: Consider the system of differential equations Y1 + 3y2, %3D 3y1 + Y2, %3D with solutions Y1(t) Y2(t)…

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