Find the solution of the initial value problem x1(0) = −1. x1 = x1, x2 = −4x1 + x2, x2(0) = 2. x3 = 3x1 +6x2 + 2x3, x3(0) = −30.

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A: In Z12 solution of  a) x2 = 1 b) x3 - 2x2 - 3x = 0

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A: Given difference equation is ,      yn+2-32yn+1+12yn = 14n   ;  n≥0     ;  y[0]=10  and  y[1]=4 (.)…

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Q: true or false: a. y=3lnx a solution to y(4)-16y=0 b. y=3e-2x a solution to y(4)-16y=0

A: Part a,Given,y = 3 INx a solution to y(4) - 16y = 0

Q: 2. Show that x4 - 3x - 1 has a solution between 1 and 0, and another solution between 1 and 2.

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Q: -1 -1 3. Find a particular solution of x' = -2 2 x+ 4 -1 -2 et

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A: Given: yk+1=yk+5

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A: PLEASE NOTE: There is a slight  typing mistake in this question ,the differential equation should be…

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Q: 5. In Z12, solve (a) x² = 1 (b) x³ – 2x² – 3x = 0 -

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Q: suonenba 5x mons: (1) +- = 3x + 3 (ii) x + 7x + 12 = 0 In (x +4)- In (x*) = 4 = 15 (iii) %3D (iv)…

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Q: 4 Solve the following y + xy = xy 01+y³e³²/2 = Ce³z² /2 01-³e³/2 = Ce³²/2 01-y³ = Cy³e³²/2 01+y³ =…

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