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2) 17pt) Solve the following IVP. Xi' = -X1 + (3/2)x2 x1(2) = 1 xz' =...
Solve the IVP for the given equations Xi' =-X1 + (3/2)x2 X2' = (-1/6)x1 - 2x2...
Solve the IVP for the given equations
Xi' =-X1 + (3/2)x2 X2' = (-1/6)x1 - 2x2 x1(2) = 1 x2(2) = 0
Consider the following. Xi' = 3x1 - 2x2 x1(0) = 3 xz' = 2x1 – 2x2,...
Consider the following. Xi' = 3x1 - 2x2 x1(0) = 3 xz' = 2x1 – 2x2, *2(0) = (a) Transform the given system into a single equation of second order by solving the first equation for x2 and substitute into the second equation, thereby obtaining a second order equation for X1. (Use xp1 for xı' and xpP1 for x1".) xpP1 – xP1 – 2x1 = 0 (b) Find X1 and x2 that also satisfy the initial conditions. *2(t) =
max Xi + 3x2 subject to: -X1 – x2 < -3 -21 + x2 = -1...
max Xi + 3x2 subject to: -X1 – x2 < -3 -21 + x2 = -1 X1 + 2x2 = 2 X1, x2 > 0 Problems. Solve the following problems using the simplex method in the dictionary form. Note that problems 2, 3, and 4, require you to use the two-phase simplex method. For each iteration, in addition to other calculations, clearly show the following: the dictionary, entering variable, minimum ratio, and the leaving variable. Note that we employ Dantzig's...
a.) Solve the following IVP. X !=3x,-13x2 X, (O)=3 X2 = 5x +X2 X₂(0)=-10 b.) solve...
a.) Solve the following IVP. X !=3x,-13x2 X, (O)=3 X2 = 5x +X2 X₂(0)=-10 b.) solve the following IVP. X;= -X, +(3/2) X2 X, (2)=1 X 2 = (-%6) xx-2x2 X2 (2)=0
3. Solve the following system of homogeneous equations 2.x1 + x2 + 3x3 = 0 x₂...
3. Solve the following system of homogeneous equations 2.x1 + x2 + 3x3 = 0 x₂ + 2x2 x2 + x3
a. b. Solve the IVP -5 3 [= il (x1+[ 6te *) (O)=(-1) -3 Solve the...
a.
b.
Solve the IVP -5 3 [= il (x1+[ 6te *) (O)=(-1) -3 Solve the IVP 79 [] = [-* ?] [?]+[6] [70] = [4] 1 0
Suppose X1, X2, Xz~exp(1) and they are independent. (a) Compute the cdf of X1 (b) Let...
Suppose X1, X2, Xz~exp(1) and they are independent. (a) Compute the cdf of X1 (b) Let Y- max(Xi, X2, X3). Find the cdf of Y (c) Derive the pdf of Y
Solve for xi and x2 in the following set of equations -x, + 2x2 = e-x2
Solve using MATLAB
solve for xi and x2 in the following set of equations -x, + 2x2 = e-x2
solve for xi and x2 in the following set of equations -x, + 2x2 = e-x2
2. Solve the LPP by the dual simplex method Minimize: z = 3x1 + 2x2 Subject...
2. Solve the LPP by the dual simplex method Minimize: z = 3x1 + 2x2 Subject to:: x1 + x2 > 1 4x1 + x2 > 2 -X1 + 2x2 < 6 Xi > 0, i=1,2
Min Z = 6X1 + 4x2 Subject to Xi + 2x2 > 2 -X1 + 2x2...
Min Z = 6X1 + 4x2 Subject to Xi + 2x2 > 2 -X1 + 2x2 5 4 3x1 + 2x2 < 12 X1, X2 > 0
Solve the IVP for the given equations
Xi' =-X1 + (3/2)x2 X2' = (-1/6)x1 - 2x2 x1(2) = 1 x2(2) = 0
Consider the following. Xi' = 3x1 - 2x2 x1(0) = 3 xz' = 2x1 – 2x2, *2(0) = (a) Transform the given system into a single equation of second order by solving the first equation for x2 and substitute into the second equation, thereby obtaining a second order equation for X1. (Use xp1 for xı' and xpP1 for x1".) xpP1 – xP1 – 2x1 = 0 (b) Find X1 and x2 that also satisfy the initial conditions. *2(t) =
max Xi + 3x2 subject to: -X1 – x2 < -3 -21 + x2 = -1 X1 + 2x2 = 2 X1, x2 > 0 Problems. Solve the following problems using the simplex method in the dictionary form. Note that problems 2, 3, and 4, require you to use the two-phase simplex method. For each iteration, in addition to other calculations, clearly show the following: the dictionary, entering variable, minimum ratio, and the leaving variable. Note that we employ Dantzig's...
a.) Solve the following IVP. X !=3x,-13x2 X, (O)=3 X2 = 5x +X2 X₂(0)=-10 b.) solve the following IVP. X;= -X, +(3/2) X2 X, (2)=1 X 2 = (-%6) xx-2x2 X2 (2)=0
3. Solve the following system of homogeneous equations 2.x1 + x2 + 3x3 = 0 x₂ + 2x2 x2 + x3
a.
b.
Solve the IVP -5 3 [= il (x1+[ 6te *) (O)=(-1) -3 Solve the IVP 79 [] = [-* ?] [?]+[6] [70] = [4] 1 0
Suppose X1, X2, Xz~exp(1) and they are independent. (a) Compute the cdf of X1 (b) Let Y- max(Xi, X2, X3). Find the cdf of Y (c) Derive the pdf of Y
Solve using MATLAB
solve for xi and x2 in the following set of equations -x, + 2x2 = e-x2
solve for xi and x2 in the following set of equations -x, + 2x2 = e-x2
2. Solve the LPP by the dual simplex method Minimize: z = 3x1 + 2x2 Subject to:: x1 + x2 > 1 4x1 + x2 > 2 -X1 + 2x2 < 6 Xi > 0, i=1,2
Min Z = 6X1 + 4x2 Subject to Xi + 2x2 > 2 -X1 + 2x2 5 4 3x1 + 2x2 < 12 X1, X2 > 0
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