Use the Laplace transform to solve the given initial-value problem. y" + 3y' = 8(t - 1), y(0) = 0, y'(0) = 1 ])+([ y(t) = 1). 2(t-[

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Q: (b) Let T: R³-R¹, T(v)=(v, w) w; +(v,w₂)w, where w; = (1,-1,0) and w₂ = (0,-2,1). (i) Find the…

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Q: a) Prove that every integer can be written a sum of powers of 2. b) Write 14, 17, 27 as a sum of…

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A: Left end sum=sum of areas of the rectangles      =7X10+9.8X10+13.2X10+18.1X10+20.5X10      =68.6X10…

Q: 2. y+3y"+4y+2y=0; y(0) = 4; y'(0)=-4; y"(0)=1 a. y=e* (4+sin x) b. y=4e¹ cos x c. y=e*(1+3 cos x) d.…

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Q: y(t) = y" - 7y' + 6y = et + s(t - 7) + 6(t-9), y(0) = 0, y'(0) = 0 ) + ( [ ])2(x-7)+ ( [ 1) 2(t-1

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Q: (a) 5-2+0.8 -0.32+... D

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A: I have used the multiplication and composition of function to generate desired function.

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Q: A) Solve the linear system x1 + 3x22x3 4x1 + 2x2x3 4x13x2 + 3x3 - 2x4 = 4 = 4 -2 using the…

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