O 2y=-4x+10 O 2y+x=10 O y+2x=-5 O 2y=-10x-4

Q: y"+ 14y'+ 50y = 0, y(0) = 2, y'(0) = –17

A: Given y''+14y'+50y=0 Initial condition is y(0)=2, y'0)=-17 Auxiliary equation is…

Q: 24. y"+ 9y = 0; y(0) = 1, y'(0) = 1

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Q: y" – 3y' + 2y = 0 y(0) = y'(0) = 1

A: We want to solve using Laplace transformation.

Q: 12e* y' - 2y'+ y = 3

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Q: 5-y" 2y + 4y= 0; y(0) = 2, y(0) = 0

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Q: -2 -1 1 2 y -5 -2 1 4 7 y =

A: Topic- equation

Q: Find y 10. y 2x+3 11. y= 2x-1 Find y" 12. 9x+y 9

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Q: x²y" + 3ry – 24y = 0, y(1) = -8, y'(1) = –7. y =

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Q: 4) y"- 2y'– 3y = 0, y(0) = 1, y'(0) = 7.

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Q: 2 y = 12 – 3x", y = 4 – x 2

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Q: y = x² ; y = 8 – x²; 4x – y + 12 = 0

A: Consider the given function as y=x2, y=8-x2and 4x-y+12=0

Q: y" - y' - 12y = 0, y(0)=3, y'(0)=5

A: The given differential equation is y''-y'-12y=0 and the given initial conditions are y(0)=3 and…

Q: (y– 1)(y+1)(y-6)(y+6) = 0 y = 0.0.0. and

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Q: Simplify: (y-3)(y- 5) O y + + 15y - 8 O y' + 15 O y-8y+ 15 O y + 15

A: Itbis simplification.

Q: 3. y'+7=(-2x+ y)';y(0) = 0

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Q: y + 3) > (4 - y) 3(y + 3) > 2(4 – y) 3y + 9 > 8 – 2y 5y + 9 > 8 oy lo 5y > -1 Y> -0 2 1/2

A: Given query is to justify the steps according to the properties of inequality.

Q: oy-3ゾィ Ye y6-8 Ya) = 2 , Ve): 7 + 2 Yu)= 7

A:

Q: x+ y 9 x > 0 y 2 0

A: Given the system of inequalitiesx+y≤65x+y≥9x≥0y≥0

Q: y" – 2y' + 5y = 0 ;y(0) = -1,y'(0) = 7

A: The given differential equation is y''-2y'+5y=0 and the initial conditions are y(0)=-1 and y'(0)=-7.…

Q: y = x^3 - 4x^2 y = 0 +++++ -2 2 6. 8 10

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Q: Find x and y 24 -2 22 [2x-2y 2 -2 20 21 o -10: [4 : 25 24y 25 2x+y -4

A: Given:

Q: 4y" - 12y' + 9y = 0, y(0)=4, y'(0)=9

A: The given differential equation is 4y" - 12y' + 9y = 0 and the initial conditions are y(0)=4,…

Q: y" + 5y'+y = 0, y(0)=-10 , y'(0)=0

A: We have to solve given problem:

Q: O K+ ty-3Z-3=0 2x-y-2- . 3X

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Q: y"" + 3y" +3y' + y = 0, y(0) = 7, y'(0) =-7, y"(0) = 11

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Q: 3y" + 2y' + y = 0

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Q: y" - 8y = 0, y(0) = 4, y'(0) = 5 and y"(0) = 7

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Q: 3) y" + 2k²y' + k*y = 0 4) y" + 1.25y' = 0

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Q: x=3t y=24ヶも 2=3+56 =2+4t, Z = 3+5€ メ-S Z-10 2 2 ニ

A: we have to find the point of intersection of the two lines: L1:x=3t , y=2+4t , z=3+5tL2:…

Q: 2. y" – 2y' = –4 y(0) = 0, y'(0) = 4

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Q: y''=2x(y')2 , y(0)=4, y'(0)=−1

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Q: y”+y’=0; y(0)=-4 , y’(0)=6

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Q: y′=2y−1,y(0)=1

A: Separate the variables , then integrate both sides

Q: 3) y" + 16y = 1, y(0) = 1, y(0) = 2;

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Q: y′+2y=te−2t,y(1)=0

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Q: а) (Зу?)(4y5) (xy²z*)* b) (x²y²z}3 5

A: Note:- according to the company policy we can attempt ?️ only three subpart of a question so please…

Q: 23. y = |x + 2| – 4 26. y = 4 - x + 2|

A: THe transformation of the graph is shown below see it carefully. Please find the solution below.

Q: (b) ) yn+2 -4yn+1-10y, +3yn=3"+1

A: The objective is to solve the differential equation:

Q: 5. y" - 4y = 0 6. y" - 64y = 0

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Q: y" + 7y' + 10y = 0, y(0)= -4, y'(0)=2

A: If we have differential equation   where a,b and c are constant real number then assume the solution…

Q: Evaluate y"-10y'+9y=5t , y(0)=-1 y'(0)=2

A: Given: y''-10y'+9y=5t, y(0)=-1, y'(0)=2 The objective is to obtain the solution.

Q: 5x+y x=9 y=7

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Q: Py'+ry-4y=-3t, 1sIs3, y(1)=4, y(1)=3

A: The given equation is, t2y''+ty'-4y=-3t, t0=1,y0=4, y'=3 let us reduce the given equation into first…

Q: y=x² 3y=2x+ (1, 6) 6. 4. (2, 4) (-2, 4) 2 y= 8 - 2 x

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Q: y" - 4y' – 12y = 0, y(0) = – 1, y'(0) = 26

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Q: 3) y" + 16y = 1, y(0) = 1, y'(0) = 2;

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Q: y" + 3y' = 0 y(0) = -2, y'(0) = 3

A: Given,            y''+3y'=0 , y0=-2 , y'0=3To find : The general solution of teh differential…

Q: y" + 4y = 1² + 8e', y(0) = 0, y'(0) = 7

A: we are given second order non homogeneous linear differential equation with constant coefficients to…

Q: y" + 4y' = 0, y(0) = -4, y'(0) = 6, y"(0) = –8.

A: