2, y(t) = 4t – 6 y(t) = t - 5 5, y(t) = 4t (t) = 4t – 5

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Q: 2 X+y +Z=lo Gouss eleminahin 3 X+ 2Y4 32=18 X +uy+ 9Z= 16 ماركة العرض من قبال

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Q: 4. xydx + (y √ x² + y²-x²) dy=0

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Q: y(3) for y' = xe3x - 2y, y(0) = 0 by using Euller's method. h = 0.5

A: Here I write a small piece of python code to solve this problem.

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A: The given solution is  y = 5e-x +7x.e-2x To verify it we will differentiate it

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Q: y''-3y'+2y=5e^3x,y1=e^x

A: Reduction of order is a very significant and basic method to solve higher-order linear differential…

Q: - r)rdrde 32(V2-1) 16(VZ-1) c. VZ-1) 4(VE-1), S(V2-1) a. d. 3. 3 3 e. 3.

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Q: 16. X- 3y » 0 4x+*yュ5 1t. ax-3y21 -Cx +ay2-3 3o.3a*yュ5

A: (16).   The given system is: x-3y=0            .... (1)4x+8y=5          ....  (2)

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Q: Your major online bookstore is in direct competition with Amazon.com, BN.com, and BooksAMillion.com.…

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Q: -5-S"S, ((m-3)x²+m(m -! x- Yy)-4myx] dydx 2,3m

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Q: 4- compute dw dw дх' ду at the point (-2,3) if w = (2x + 3y - 1) ²

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Q: 6. Find a general solution to the third order equation y" + y" + 3y – 5y = 0.

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Q: 7. f (1, y) = z + y subject to z² – zy + y² = 1

A: Let h(x, y)=x2-xy+y2. Then we have ∇h(x, y) = (2x-y, 2y-x) and we also have ∇f(x, y)=(1, 1). Let the…

Q: (b) If z = 9t²e 4, find dz dt 4

A: NOTE: Refresh your page if you can't see any equations. . take derivative

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Q: Minimize c = r + 2s + 3t 3r + 2s + t > 60 Subject To: 2r + 3t > 60 And Where: {r > 0, s > 0, t > 0}…

A: According to the given information it is required to solve the given problem:

Q: Зх — 4у + 23 (a) f(x, y, z) = '9 – x² – y² –. - V2t – 4 x² – y? - (b) g(x, y, t) : -

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Q: Find a particular solution for: y" - 3y' + 2y = te*

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Q: 33. Y"(t) - 8Y(t) + 2Y(t) = 4t + 12e-t, Y(0) = 6, Y'(0) = -1. %3D Ans. Y(t) = 3ef-2et+ 2t + 3+2e-

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Q: What is the particular eq. of the given:   y"-3y'+2y= xe^x +1

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Q: Find a general solution of y"- iy'+6y= 0.

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Q: Y, = Ax² is particular solution of y' + y" = 1 for A = %3D

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Q: 2 3 6 + k dt V4 – t2 4+ t2 |

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: 4". Sy' 8y Sx'e* y10)=8, y'l0).S X-

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Q: 5-1. y" - 4y + 4y = t³e²t, y(0) = 0, y'(0) = 0

A: Since  you have posted a multiple  question according to guildlines I will solve first   question…

Q: 2x + y + z = 1 X- y+4z = In1 x + 2y - 2z = 3

A: We will solve this equation with the substitution method. So first of all we will find anyone…

Q: (T^2-x)dt-tdx =0 when t=1 x=5 Ans,: x=1/3t^2 + 14/3t please show solution

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Q: 3. Obt nin the parh cular folu tion 9. xdx - ydx + 3x dy +ydy = 0 ; wun x - 5,4= -:

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: This is the solution of y" + 4y' + 3y = 8 (t – 2) , y (0) = 0, y' (0) = 0 O y = [e-t-2) –e-8(t-2)] U…

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Q: -4-sy=0, y(1)=0, y'(1)=2 b) dt

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Q: 1.y' + 6t = e*t, y(0) = 2 2.y" + 6y' + 4y = 0, y(0) = 1, y' (0) = 0 3.y' +t = e5t, y(0) = 1

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Q: 2e-0.8t dt, n = 5

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Q: 2. Obtain the particular solution. y"-y'-6y=0; when x=0, y=2,y'=1

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Q: The general soslution of x' = x + 2y and y' = -3x -4y is given by: a) x = 2c1e-t + c2e-2t, y =…

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Q: Find all the local maxima, local minima, and saddle points of the functions in Exercises 11-20.

A: (10)Consider the provided function, fx,y=x2+2xy Find all the local maxima, local minima, and saddle…

Q: dY ト、人ミXP ] dY = Sdx マ-) enlY.zl - ln l Y4z/ = 4(x+C) la1に イ-2 こ4×+4C Y-2 つカト入ト =てナ人 4V+4C. こe - Yt2…

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Q: y'= t2y - 4y / t+2  diferansiyel denklemin ayrılabilir olduğununu ve çözümünü gösteriniz

A: We need to solve the following differential equation y' = t2y-4yt+2

Q: Show that xy – 2 = cxy is a solution of (x² + y2 – x)dx – ydy = 0.

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Q: Minimize c=s+ 2t subject to 4s +t2 270 2s +t2 190 s+ 3t 2 330 s20, t2 0. C = (s, t) =

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Q: What is L[y] if y = u3(t) (t- 3)2? %3D L[y] = e3s . - 3 O Lly) = e3s. 2 L[y] = e-3s. 2 O Lly] = e-3s…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.