( -) Solve the system 1 -2 5 da i, with the initial condition (0) = dt 2 5 x1 = -2e^(3t)+7e^(3t) 22 = 2e^(3t)+7e^(3t) 2.

Q: The Quadratic equation 2x^(2)+6x+7=0 has roots \alpha and B. Calculate the value of (1)/(\alpha…

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Q: 4. A = [ 5 7 5 ²]. b = = ['₁ 5 12 17

A: Given,

Q: 1. Given the function h(x) = (3x-6)/(2x -4) find h^-1(x)

A: Since you have posted a multiple question according to guildlines I will solve first(1)question for…

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: 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: P(X)=x^(3)-4x^(2)-8,P(2)

A: given that  p(x) = x3-4x2-8 then  P(2)=?

Q: у"" - 8y" + 41у'- 234 е 3х, у"(0) %3D 187, у'(0) 3D 29, у(0) 3D 10 3x.

A: Now we solve this below

Q: Zyyy=24x-96y+5 denkleminin genel çözümü aşağıdakilerden hangisidir? O a. z=4x^(2)…

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Q: Find the solution of the system of equations below: X; x(0) = (²) x' = (²-3)x;

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Q: 5) Solve y) - 3y4+3y" - 3y" +2y' = 0.

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Q: y=1-x^2 y=x^2-1 Find the two solutions of the system when x0

A: Given: y=1-x2 and y=x2-1 To find the solution of the given system we have to equate both the…

Q: (10x-19) (3r + 2) (5x-3)

A: We will use the exterior angle property of a triangle that states that an exterior angle is equal to…

Q: y^ (4) + y”” + y” = 0

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Q: Solve using De Moivre's Theorem to find the general solution.  y^(8) + 8y^(4) +16y=0

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Q: х2у" + x(x-1)у' + (1-x)у %3D 0

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Q: Solve for the general solution of the given DE: O y = (-6 + ce^(-x^2/4))^2 O y = (-6 +…

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Q: Find the general solution: 8x^3 y''' + 10x^2 y'' + xy' + y = 5

A: According to the given information it is required to find the general solution of the given…

Q: Find the general solution using eigenvectors: x₁ = -2x₁ + 4x₂ x₂ = 6x₁ - 4x₂

A: We have to find the general solution using eigenvectors:…

Q: 6. A = 4 7 3 6 b = 10 5

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Q: how did we get from x +2xy + iy^2 - ix^2 - iy to the next line?

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Q: Find the solution. (403+12D²+13D+10)y = 0. @ y=c,e+e>(c,cosx + c sinx) +c,sinx) -3x y =…

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Q: determine the roots of the simultaneous nonlinear equations (x-4)^2 + (y-4)^2 = 5, x^2 + y^2 = 16.…

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Q: Solve the system [: 16 -36 dx dt 6. -14 with the initial value 13 x(0) 5 -5e^(4t)+13e^(-3t) x(t) =…

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Q: using the zero product principle. x^(3)+8x^(2)+15x=0

A: The zero product principle states that if ab=0, then a=0,b=0, or both p and q=0. At least one of the…

Q: -15 12 da dt -18 15 with the initial value -12 (0)D, -16 8e^(-3t)+4e^(-3t) a (t) = 12e^(3t)+4e^(3t)

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Q: Evaluate the following.      Solve for A ^-1 using co factor method

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Q: Example 4: Solve y" + 7y' + 10y = 2x + 3e*. y" – 3y' - 4y = 2x2 - 3. iii) y" + 2y'-3y 7x-3x. iv) y"…

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Q: 3. Solve the system by using the matrix exponential -2 3 x' = [ X 5 -1 2 x (2) = (2] 4

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Q: Find the general solution to the given system of equations. 1 ²2 ) x + ( ₁ x' 1 4 -2 e-2t -2et

A: The given system is:x'=114-2x+e-2t-2et

Q: 2.

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Q: Find a particular solution of y" +9y+14y = 8e-2x

A: The given differential equation .To find the particular solution to the differential equation.

Q: ii) y" - 3y'-4y = 2x2-3.

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