12) Consider the differential equation y" + a1(x)y' + ao(x)y = 9 sin(7x) And suppose that Y1 = x Y2 = x¯1 are linearly independent solutions of the associated homogeneous differential equation. Then a particular solution of this differential equation is given by a) Yp -0.0262 COS(7z) b) Yp = -0.1837 sin(7x) cos(7z) c) Yp = -0.1837 sin(7x) – 0.0262-

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Q: 2. The differential equation (4x'y'-6x'y-2r-3)dr +(2x*y-2x' ty = 0 is exact because aN

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Q: Solve non-homogeneous differential equation of 8y′′ − 2y′ − y = −x^2 − x −1

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Q: 7. Choose the appropriate table for the differential equation X y ଶ୪ X y dx X Y -201 -4 1 2 2 -1 -1…

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Q: (1) Consider the differential equation Vy – 1 y' = x – 2 with the initial condition y (xo) = What…

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Q: 1. Find a homogeneous linear differential equation with constant coefficients whose general solution…

A: y=c1cosx+c2sinx+c3cos2x+c4sin2x For c1 and c2 α=0, β=1 α±βi0±1i0±i m-im+i=0m2+i2=0m2-1=0

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Q: Consider the differential equation y" – 2y'+ 37y = 0; e* cos(6x), e* sin(6x), (-o, ). Verify that…

A: y(x) = ex(C1cos6x +C2 Sin6x)

Q: 1. Given the differential equation: y" = cos(5x). Determine its general solution. A. 125y = -cos(5x)…

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Q: Find the particular solution of the given differential equations. 2. (x² + 2xy - 4y²)dx - (x² - 8xy…

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Q: 12) Consider the differential equation y" + a1(x)y' + ao(x)y = 9 sin(7x) And suppose that Y1 = x Y2…

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Q: The solution of the differential equation by variable separable method dy 3 + y?) (3x² + 6) is_ dx…

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