Verify that the vector X is a solution of the given homogeneous system. -1 x-(-; X'= 1 -1 x - (-²) 0² For X = 1 -5t/4 e , one has 1 16 X; X = -1. X'= 1 16 X= -1 -5t/4 A 100

Q: If y = u³ - 4 and u = 3x² + 10, find y' O 18x(3x² +10)² O 3x(6x² + 10)² O18(3x² +10)² 6x(3x² +10)² घ

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Q: 5x Differentiate y= (4x – 3)* * 4x + 1 y' = (4x – 3)5 -60x – 15 y' = (4x – 3)5 - 15x + 1 (4x – 3)5 |…

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Q: 4. A = [ 5 7 5 ²]. b = = ['₁ 5 12 17

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Q: Find the general solution of the D.E. (y^2- 2xy + 6x) dx = (x^2 - 2xy + 2) dy = 0 Show your…

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Q: Find an example of a nonlinear equation, which is not solvable using any of the methods: separable,…

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Q: у"" - 8y" + 41у'- 234 е 3х, у"(0) %3D 187, у'(0) 3D 29, у(0) 3D 10 3x.

A: Now we solve this below

Q: Zyyy=24x-96y+5 denkleminin genel çözümü aşağıdakilerden hangisidir? O a. z=4x^(2)…

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Q: Verify that y, = e2x and y2 = e5×are solutions of у" - 7у' + 10у %3D 0

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Q: Solve for y(x):

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Q: Find the general solution of y" = x-1 A. y = xln x – C1x + C2 B.y = xln x – C1x - C2 C.y = xln x +…

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Q: Differentiate: y = (3x 교-5z) (4n3 +2) O y' = 60a + 80a- 12a 10 - O y' = 60x + 80a + 12x O y' = 60x4…

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Q: Consider the following region Rand the vector field F. a. Compute the two-dimensional curl of the…

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Q: 7 0-3 -9 -2 3 18 0-8 y, y(0) = 2 3

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Q: y₁' = -3y₁ - 4y2 +5et y2' = 5y1 + 6y2-6e¹ dan diketahui yı(0) = 19, dan y2(0) = -23,

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Q: 42+2 312-5x Differentiate: y = O y = 12z-40z+12z-10 (3z2-5z) O y' = - 12z* – 40x³+12z–10 (3z2-5z) O…

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Q: Solve the system [: 16 -36 dx dt 6. -14 with the initial value 13 x(0) 5 -5e^(4t)+13e^(-3t) x(t) =…

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Q: -15 12 da dt -18 15 with the initial value -12 (0)D, -16 8e^(-3t)+4e^(-3t) a (t) = 12e^(3t)+4e^(3t)

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Q: Solve the system, where, x' (t) = A x(t) 2 A 1 ^= (²-). 0 4 -4 5 - (8) 0 x(0) =

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Q: Find the solution. xy'+ xy = 1 - y, y(1) = 0 A y = x-'(1 – e!-") y = x-2(1 + e'+*) © x=y-'(1 + e'-1)…

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