Hi! Can you answer this within 30 minutes? Even without solution. Just the answer. Thank you! Consider the following nonhomogeneous linear system:x1 = 2x1 – x2 + t²X2 + t2x2 = 3x1 – 2x2 + t5. For the initial value of æ" = [0, 0], which of the following is the solution to the system ofdifferential equation?53.et +t2 +2а.X =2.b. x = Hef + e-+ -² +|: +[t +,-tet +9.eс.X =2.2d. x = []e* + []e¬+ +-2et + tHei +e-t+-3e + 2t

Here is the solution of the given system of Linear differential equation.

Consider the following nonhomogeneous linear system: xi = 2x1 – x2 +t² X2 + x2 = 3x1 – 2x2 + t - 5. For the initial value of æ = [0, 0], which of the following is the solution to the system of differential equation? %3D -21 + -31 а. X = et b. x = et + -t e t2 + t + | - 2 C. X = et t + | 2. -2et + t Het + e-+|-3e + 2t – 1 d. x = MIN9INN 3 +

Consider the following nonhomogeneous linear system: xi = 2x1 – x2 +t² X2 + x2 = 3x1 – 2x2 + t - 5. For the initial value of æ = [0, 0], which of the following is the solution to the system of differential equation? %3D -21 + -31 а. X = et b. x = et + -t e t2 + t + | - 2 C. X = et t + | 2. -2et + t Het + e-+|-3e + 2t – 1 d. x = MIN9INN 3 +

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter11: Systems Of Equations

Section11.5: Cramer's Rule

Problem 35PS

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Find a system of two equations in three variables, x1, x2 and x3 that has the solution set given by the parametric representation x1=t, x2=s and x3=3+st, where s and t are any real numbers. Then show that the solutions to the system can also be written as x1=3+st,x2=s and x3=t.

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