1) Use reduction of order method with y₁ (x) = e-2x to find a second solution y2 for the DE: y" - 4y = 0.

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Q: 1. Find the solution of the IVP. Show the details of your work. y" + 5y' + 6y= u(t-1) + 8(t− 2),…

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A: we will make chart as you mentioned in question for number to box.

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Q: Consider the set X = {x € R¹ / 93x₁ +34x2 +26x3 + 18x4 ≤ 131, X1, X2, X3, X4 = {0, 1}}. Show that x₁…

A: (a) It is given that x=x1,x2,x3,x4 such that 93x1+34x2+26x3+18x4≤131 and x1,x2,x3,x4∈0,1. So, the…

Q: Find the general solution to y(4) + 18y" +81y = 405 + cos6t 729 729 Oy=c₁cos 18t + c₂sin18t+t(c3cos…

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Q: S Prove that £{cos(at)} = est cos(at)dt s² + a² integrating by parts twice and the evaluation of the…

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Q: Complete the following direct proof of the statement: If x and y are positive real numbers and x <…

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Q: Find the area of the region bounded by y = 5x², y=0, x= 4, x = 6. Give your answer to the nearest…

A: Sol:- The area between curves is the area between a curve fx and a curve gx on an interval a, b…