List the values for L such that the function y = = cos(Lx) is a nontrivial solution for the ODE 4y + y = 0. O2,-2 2,0 O 0,-2 O 2,0,-2

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Q: a) b) 2 SEA O $ (y²³-2x³y²³) dx dy 3 1 JA 13 Y $$ (e cosx) dy dx 0 O

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Q: 4 I I 1 1 I A 140 I 1 1 1 1 I

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Q: find the solution: x^2y'+2xy=2y^3

A: Given that the differential equation is                                        To find the solution…

Q: Given Lines Line 21 3x + 11y188 = 0 Live 3 - 11x-3y +56=0 Line 1 - 3x + Hy + 15=0 3x -15 11 Live 3:…

A: Given linesLine Line  Line

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Q: Find the values of the constants C₁, A such that the function y(x) = C₁e satisfies to ODE with the…

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Q: find the solution: 1. y'=2y+y^3

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Q: the appropriate that should be applied the differential equation 4 - 54 - 5 xyở ³ 2 K

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Q: 3.- Determine the center, radius and graph of the circle whose equation is: 3x² + 3y² - 5x + 3y+32 =…

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Q: 7. Prove that every integer is congruent modulo 9 to a unique integer T such that -4≤r ≤ 4.

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Q: Find the values of X for which y=e^ satisfies the equation y + y' =y". Ο λ = 0 Ολ: = 0 λ = 1-√√5 2…

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Q: From the figure:

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Q: Consider the following closed semi-ring: (R₂ U{+∞o), Min, Max, +∞0, 0) where Min is the operation +…

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Q: ind the solution of the following initial value problem. 4y" - y=0 y(-2) = 1, y/(-2) = -1

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Q: Use the definition of compactness to prove that a closed subset Y of a compact set XCR is compact.

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Q: Consider the following equation of a quadric surface. x²y² + 100 25 a. Find the intercepts with the…

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Q: Derive the solution of the logistic initial value problem P' (t) = kP(t) (M - P(t)), P(0) = Po, in…

A: The logistic equation can be solved using the separation of variables technique.

Q: Show that Q(√2) = {r + s√2 | r, s € Q } is a field. Note that for any r, s € Q, r + s√2 € R (i.e. Q…

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Q: Exercise 2.4.1: Justify the identity A cos(wot) + B sin(wot) = C cos(wot - y) and verify the…

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Q: Consider the function f(p, q, r) = and w = 2. p³ + q² with p = 1+w, q= u²w + v², and r = uv³+ w³.…

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