Show that given function is a solution of the differential equation. Then solve the equation by finding a general solution. a) d'y 1 dy dx² x dx - 4x²y = 0, -∞

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Q: 15. 16. 2 2 4 1 -1 -4 2 7 19 1 3 15 2 4 22 2 7 34 2 3 -3 7 8 17

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Q: 1) z = √√√36-9x² - 4y2 a) Draw a contour map using z = 0, 1, 2, 3, 4, 5, and 6. b) Draw the surface…

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Q: 21. x₁ + x₂ + x3 2x12x2 5x3 3x1 +x3 + x4 = 4x12x2 3x3 + x4 = 6 = -13 13 1

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Q: (8) Find all eigenvalues and eigenvectors of the derivative map, D, on P₁ (R).

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Q: VI. Find the vector equation of the line with u = (4,6,-7) = ( ³ , /1, - ²/1 ) V =

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Q: 11. 0<1 13. 0<a<b: ⇒ 0 < b−¹ < a¯ ∙1

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Q: In problems 1 through 4, find for each: a) 3a 1. a = 2î+4ĵ b) a + b c) a-b b = -î+4ĵ d) la + bl e)…

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Q: Let A = 0 1 2 1 -1 - 3 1 2 2 0 1 0 3-1 1 0 . Find M11, M21, M32, C11, C21, and C32.

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Q: ((x)d) (xA) ≤ ((k)b ^ (h).i ~) (hA) O ((x)d ~)(xA) ← ((h)b ~ \(h)i) (h=) O ((x)d ~)(xA) ← ((k)b v…

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Q: . Let a, b € Z, and let d = gcd(a, b). Show that the subgroup of Z generated by {a, b} is dZ.

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Q: [2 3] x [58][y] a) X 元 201 9 = [] 18013-81 ||

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Q: true or False. Why? know? How do you k The surface &(u,v) = (v sin u, vcosu, o) with 0 ≤ u≤ 20, and…

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