λ1 = -2, λ2=5  V1 = (1, -2)  V2 = (4, -1) Using the above eigenvalues and/or eigenvectors, find the general solution of the following system of linear differential equations, writing the solution as an equation for x and an equation for y: x ̇= 6x+4y y ̇ = − 2 x − 3 y

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Q: Consider the following initial-value problem. -1 -2 X'= ×·- (-² -² ) x + ( ³ ) × (0) - ( -5 ) X 3 4…

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A: The Bassel differential equation and solution:

Q: Find the most general real-valued solution to the linear system of differential equations a' = T1(t)…

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Q: i 3 5х + 10у ý = -x – y —х —

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Q: 3 1 -3 (iv) C= 1 0 0 L-2 1 2. 3.

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Q: (iv) C =10 0

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Q: ithout solving it, rewrite the given second order differential equation t'u" - 3.5tu' + (t² − 1)u =…

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Q: Reduce the differential equation: x2(y-px)=yp2 to chairaut form and find its genenral solution

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Q: (x2 + 1)у' + 3x(у — 1) — 0, У (0) — 2

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Q: у"" + Зу" + 4y' + 12у %3D 8cos2x — 16sin2x

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Q: Find the general solution of the differential equation: 4y" + 36у 3 csc3t

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Q: Solve the system of first-order linear differential equations. (Use C1 and C2 as constants.) У1' %3D…

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Q: Find the general solution using eigenvectors: x₁ = -2x₁ + 4x₂ x₂ = 6x₁ - 4x₂

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Q: Help me to solve it please

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Q: L" + 2x" – x' – 2x = et Write the equation as a 1st order linear differential equation system and…

A: Given equation is  x'''+2x''-x'-2x=e3t                                                (i) Let…

Q: differential equation. neral solution of the giver ation, if e and ex are E 5u -

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Q: Use the power method to calculate an approximation to the dominant eigenpair for 2 4-(37) with X-(0)…

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Q: Solve the system of differential equations -99 168 x' Ꮖ -56 95 = x1(0) 33, 2(0): x1(t) = x2(t) = =…

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Q: 6. Solve the system of linear differential equations 200-30+ [2] []+ (t) =

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Q: x' = x + y y' = -2x - y

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Q: Find the solution of the differential equation system

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Q: 3 1 A = 4 2.

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