Consider the initial value problem: y" + 2y" - y - 2y =e", y(0) = 0.y'(0) = 0,y"(0) = 0 The real mumbers a, b and c such that y(t) = ae' + be + ce-" + is the exact solution of the IVP are: a= 1/18, b= -1/2, c= 4/9 a= -1/18, b= -1/2, c= 4/9 a= 1/18, b= -1/2, c= -4/9 a= 1/18, b= 1/2, c= 4/9 O O

Q: Solve y" – 2y' – 3y = 3t² – 5 using the Method of Undetermined Coefficients.

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Q: titution: 4 11 8 }]ÿ. y(0) = [¯²]. etermined coefficients: 12 -1 · [¹² −¹5]y+[e²].

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Q: Find the general solution of the following: x²y" + xy' + (x² – 49)y = 0 4y" - 4y - Зу%3 0 %3D

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Q: Find the wrong Kian W(y1,y2)(t) of y1 and y2  Where y1=t and y2= e^t are solutions of…

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Q: 2x y" +5xy' + y = 3x +2 Answer y(x) = +은+2+

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Q: 8.) y" +2y' +5y = 3e 2* ; and y(0) = y'(0) = 1

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Q: Find the solution: y" + 3y' + 2y = 12x2; y(0) = a, y'(0) = b

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Q: (t+ 9) y" + 2t y = 0 y(3) = 2n У 13) 2/3

A: We solve the given IVP  (t2+9)y"+2ty'=0.....(1) y(3)=2π,y'(3)=2/3

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Q: Find two fundamental solutions x²y" + 4xy' + (2+x)y= 0,

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Q: x²y" – 5xy'+9y = 2x

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Q: Ex. (9) Sol:- Solve 3y"-2y'+y= 4x+2

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Q: a) y2 + (y-1)y' - y = 0,

A: According to guidelines we solve only one question. Thanku

Q: Find the solution of with y(0) = 7 and y'(0) = 6. y" + y − 2y = 54 et

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Q: wherey = x + C is a solution to this DE. What is the particular solution?

A: Let's find.

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Q: For 2y''+7y'+6y=25*t*e^(5*t) A) Find the solution, then find the general form for a particular…

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Q: Solve the IVP: ry'- 2ry 10x2, y (0) = 1 Oy- 3e + 222 4 Oy = 6e #= 5z = 5 Oy=-e + 5x + 27 Oy= - 5z -…

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Q: Solve (a) xy" - 3y' = x², (b) yy" + 2y'2 = 0, (c) y" + 4y = 0,

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Q: Find solution of IVP y" - 4y - 5y = 0 y(1) = 8, y'(1) = -5.

A: Given the differential equation is                        y''-4y'-5y=0, y(1)=8, y'(1)=-5.

Q: Use undetermined coefficients to find the particular solution to y''−9y'+20y=−1768sin(t)

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Q: What is the solution to y' +2 = xy3? * +c a. b. = -x +c c. xy? = - +c d. xy = -x² + c e. None of the…

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Q: (18) y "+9y '= sec² 2x %3D (19) y "'+6y "–14y'–104y = -11 le*

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