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Suppose that the auxiliary equation of Ay (6)(x) + By (5) (x) + Cy(4) (x) +...
Please show all work: Suppose that the auxiliary equation of Ay (5) (z) + By (4) (z) + Cy" independent solutions of the differential equation. (z) + Dy (z) + Ey, (z) + Fy(z) = 0 has solutions of r = 7 (with multiplicity 2) r = 8 and r = 3 1 Select all possible linearly =-, 6e y = 500s(3)
38 please show all steps so i can break it down for practice
Tools Window Help 35.HEIC (12 documents, 12 total pages) Q Search For Problems 29-38, determine the jorm of the paricile lution y,(x) Do not actually determine the values of the nd the gen-ficients and a par. 29. у"-у, xe 30. y" 4y xe sin 31. y" + 4y (x22 1e sin 2x te 33. y" 4y' +5ysin x 2 Cre 38. y" -2v'y x sin x +...
Problem 1: Consider a 2nd order homogeneous differential equation of the form aa2y"(x)bay(x) + cy = 0 (1) where a, b, c are constants satisfy so that y(x) = x (a) Find and justify what conditions should a constant m to (1) is a solution (b) Using your solution to (1) Write these three different cases as an equation that a, b,c satisfy. Hint: Use the quadratic formula we should get three different cases for the values that m can...
6. a) For a thin conducting rod of length L = π, the temperature U(x, t) at a point 0 Sx S L at timet>0 is determined by the differential equation U, Uxx with boundary data U(x, 0) fx) and U(0,) UL, t)- 0 for all0. Show that for any positive integer k, the function U(x, t)- exp (-ak21) sin kx is a solution. It follows that Σ exp (-ak2 t) Bk sin kx is the general solution where Σ...
Suppose the signal x[n] = δ[n-1] + cos(nn/6+ π/4) is input to the LTI system described by the equation y[n][n] +r|n - 0.5yn -. Determine a closed-form expression for yn]
Suppose the signal x[n] = δ[n-1] + cos(nn/6+ π/4) is input to the LTI system described by the equation y[n][n] +r|n - 0.5yn -. Determine a closed-form expression for yn]
please solve 17 for me thanks~~ :) !
temperature f(x) °C, where 5. f(x) = sin 0.1 x 6 f(x) = 4 - 08 |x - 5 7. fix) =x(10 - x) 8 Arbitrarytemperatures at ends. If the ends x = 0 and x= Lof the bar in the text are kept at constant 20. CAS PROJECT. Isotherms. Fim solutions (tempe rature s) in the squa with a 2 satisfying the followin tions. Graph isotherms. (a) u80 sin Tx on...