34) - a) A=/0 3 il 14 1-1) 27 -5 Solve X'=AX General solution) b) A=/6 6 6) Solve X'=AX 11 -5 al (General Solution)
Solve the equation Ax b by using the LU factorization given for A. Also solve Ax b by ordinary row reduction. 3 -5 1 0 0 3 5 4 4 A = 19 -3 1 3 -1 1 0 0 - 4 1 6 2 -6 2 3 1 0 1 58 - Let Ly b and Ux y. Solve for x and y. y X = Row reduce the augmented matrix [A b] and use it to find x...
u(2,0) = 6 5 Solve the equation by using implicit FDM(,)-4 for u u(3t) 2 At-1 u(2,0) = 6 5 Solve the equation by using implicit FDM(,)-4 for u u(3t) 2 At-1
2 1 A = Use the inverse of A to solve AX = b Given 2) 4 3 -6l 2 and b = 10 X = x2
Differential Equations: Given that λ1= 6, v1=(1,1) and λ2=−2, v2=(1−1) are eigenpairs of A, solve x′=Ax, x(0) =k. (Ans:~x=(e6t)(3,3)+e^(−2t)(−6,6)) This is the answer but not sure how to get there.
4. Solve the following problems of Abu Kamil: [x-ax + 10)]2= 8x (First substitute x -y2) a. b. (x V( (1/2) x))2- 4x (Abu Kamil does this three different ways: he first solves directly for x, next substitutes x - y2, and finally substitutes x -2y2) 4. Solve the following problems of Abu Kamil: [x-ax + 10)]2= 8x (First substitute x -y2) a. b. (x V( (1/2) x))2- 4x (Abu Kamil does this three different ways: he first solves directly...
solve the IVP using the Laplace approach ï + 2 i + 5 x = e-3t, x(0) = 1, *(0) = 0
Solve the equation Ax = b by using the LU factorization given for A. 0 0 2 - 4 - 2 12 -4 -2 0 10 A=1 - 4 2. 2 0-2 b = 3 3 -4 -3 0 0 3 6 -1 1 2 لیا Let Ly = b. Solve for y y = Let Ux = y. Solve for x. X=
7. Solve for : ax(x + b) = 1 Circle which method you are using FACTORING COMPLETING THE SQUARE QUADRATIC EQUATION
a=1 b=3 7. Solve the differential equation: x x + (ax – 7)y = bx? (Note: Where a and b are any two numbers of your MEC ID No. and a, b>0) (9 marks)