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…

Express the system of differential equations in matrix notation. x" -2x+4y- (cost)x = 0 y""'+y" -tx' + 3y' + e¹x=0 Question Viewer Which 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=x', x3 = y, x4 = y' ○ D. X₁ = x², 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.) ○ A. B. X1 x2 5. X3 x4 ' X5 X5 X1 At cut nut ☐ x2 xx cut ut ×4