For the linear difference equationUz + 10uz –1+ 36uz – 2 + 56uj – 3 + 32u; – 4 = 0with initial conditions ug =9, u118, и2 —60,uz = - 248(1) Find ug =(2) Find an explicit (non-recursive) formula for the solution of the linear difference equation with the abovegiven initial conditions.U; =(3) Find u16 using the formula you found in the previous part.u16 =

Answered: For the linear difference equation Uz +…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Solve the following y + xy = xy¹. O1+y³e³²/2 = C₁³²²/2 01- y³e³²/2 = Ce³²/2 01- y³ 01+y³ = Cy³e³z²/2 = Cy³e³²/2
ONLY B
For the linear difference equation Uz + 5uz – 1 – 25uj – 2 – 125uj – 3 = 0 with initial conditions ug = - 1, u1 = - 40, u2 = - 75 (1) Find uz = (2) Find an explicit (non-recursive) formula for the solution of the linear difference equation with the above given initial conditions. U = (3) Find u13 using the formula you found in the previous part. u13 = (4) Attach your work in the following answer box either as a pdf file of your Maple sheet or as a scan of your work on paper.
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LYn+1 . You are monitoring the movement of a 2D alien. After months of analysis, you have come up with a the following equation- Xn+1 7 2] Yn Which means, if at nth minute, the 2D aliean is at point (1, 2), at n+ 1thminute, they will be at point (7 x 1+2× 2, –4 × 1+1× 2)cint (11, –2) If you diagonalize the matrix that's been mentioned above, it should look like this - a e 1 0 d -1 f] Let's say, at minute 0, the 2D alien is at point (1,1). Let point (X5, Y5) be its position at minute 5. 1(a) What is the value of X_5 and Y_5 ?
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