Solve for the general solution: y" + 3y = x + 1. Oy(x) = C₁ + c₂e-3x + 2x/9 + x^2/6 y(x) = C₁ + c2e-3x + x/9 + 2x^2/3 O y(x) = C₁ + c₂e-3x + x/9 + 3x^2/4 Oy(x) = C₁ + c2e-3x + 2x/9 + x^2/6

Q: Find all functions y satisfying y" + y" = y' + y. You may use the factor- ization x + x² – x - 1 =…

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Q: Obtain the general solution. 1. (D^4 - 5D^2 - 6D - 2)y = 0 2. (D^2 - 2D + 2)y = 0

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Q: Determine all solutions. y'= (x-y + 3)²

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Q: Differentiate. y=/3x² – 4 -3x y' = 3x - 4 3x y' = (3x2 - 4)-1/2 3 (3x² – 4) /2 3x V3x2 – 4

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Q: 11. y = 5 3 * tn() 15 2x А. Inin 8 (35 С. Inin 15 (3" g") 2/x В. 15)(15) D.

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Q: d?y dx3 Solve - 27y=0 O a. y = ce -3x + e7*(c2cos- 3/3 x+C3sin 3/3 -x) 2 Ob. OBy=c,e3x +e"(c,cos 33…

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Q: Solve for the general solution of (D: - 5D + 6)y = 4e* using method of undetermined coefficients.

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Q: If x, y belongs to Z prove that the equation x^2+4x-8y=11 has no solution

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A: Given differential equation is xydx−x2+3y2dy=0....1. We have to find the solution of the given…

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Q: Solve for the particular solution of the given IVP: O (t^2+y^2)^1.5 - 3ty = 89 O (t^2+y^2)^3 - 3ty =…

A: The given initial value problem is: dydt+y-tt2+y2t-yt2+y2=0 ;       y(4)=3

Q: х2у" + x(x-1)у' + (1-x)у %3D 0

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Q: Solve for the general solution: 6 D^3 - 13 D^2 + 6 D = 0. O y = cle^x + c2e^(2/3 x) + c3 e^(3/2 x) O…

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Q: Example: Solve xy(2dx+ dy) = 2(3xdx+ ydy)

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Q: Solve for the particular solution: x²y" - xy' - 3y = In x. Oyp = (In x)/3 - 2/9 yp = -x/3 + 2/9 Oyp…

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Q: x=4 y=5 z=(x÷y×√y-x^2)/(y×√y-√x-2/(√x+√3)) solve with betlab

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Q: Find a general solution to the DE (D^2 + D- 6) y = 5e^2t by: a. Undetermined coefficients b.…

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Q: (2) x (x+3)y"+2y'+y=0 solve for yox)

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