Express the system of differential equations in matrix notation.x" - 2x' + ty - (cost)x = 0y""' + y" - tx' + 3y' + e¹x = 0Question ViewerWhich of the following sets of definitions allows the given system to be written as an equivalent system in normal form using only the new variables?'A. ×₁ = x, x2 = x², x3 = y, x4 = y', x5 =y"B. X₁ = x, x2 =x", x3 = y, x4 = y'''C. x₁ = x, x2 = x², x3 = y, x4 = y'×₁ = x', x2 = X", x3 = y', x4 = y'', x5 = y'"'Write the system of equations using matrix notation. Select the correct choice below and fill in the answer box to complete your choice.(Type an exact answer.)OA.X1X1x2X3SХаX5X5X1'B.x2'5IIX3X1x2Nx3X4ха

Given system of ODE's are in the following :To convert it equivalent system of linear ODE''s we take…

Answered: Express the system of differential…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Suppose the above equation is expressed as Ax=b with x=(x1 x2 x3)express the cofficicents of the equations in one matrix form as (A|b)
5. By using the matrix methods to solve the following linear system: x1 + x2 – x3 = 5, 3x1+ x2 – 2x3 = -4, -x1 + x2 – 2x3 = 3;
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Write the following system in the Matrix form AX=B (2x + 3y + z = 4 (S):3x + 3y + z = 8 (2x+4y+ z = 5 1. (4 a. A =3 3 1, X = (y ) and B =8 1 1" b. A =3 3 12 5. (4 1), X = (y) and B =8 12 4 (2 1' (5' c. A =3 3 1), X = y) and B =8 .2 4 d. None of these 234r
3. Consider the system of linear equations AF = 5, where (a) Determine A- (b) Use A- to find F in a+ ib form.
Write the given second order equation as its equivalent system of first order equations. u" + 5u' + 7u = 0 Use v to represent the "velocity function", i.e. v = Use v and u for the two functions, rather than u(t) and v(t). (The latter confuses webwork. Functions like sin(t) are ok.) u'(t). u' = Now write the system using matrices: u d dt V
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