Given the linear ODE: x(3) + 3x + 4x + 2x = u(t) (a) Convert this...

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Given the linear ODE: x(3) + 3x + 4x + 2x = u(t) (a) Convert this third order ODE into first-order form ż= f(z, u) where z is a 3 x 1 vector (b) With u = 0 and the initial conditions x(0) = 1, x(0) = -1, x(0) = 1 determine the value of the vector ż (0). Given below is a system of two nonlinear differential equations. x + 2xye* + xy = 0 ÿ +ýx + 2y sin(x) = 0. Convert the nonlinear system to first-order form. Given the linear ODE: x(3) + 3x + 4x + 2x = u(t) (a) Convert this third order ODE into first-order form ż= f(z, u) where z is a 3 x 1 vector (b) With u = 0 and the initial conditions x(0) = 1, x(0) = -1, x(0) = 1 determine the value of the vector ż (0). Given below is a system of two nonlinear differential equations. x + 2xye* + xy = 0 ÿ +ýx + 2y sin(x) = 0. Convert the nonlinear system to first-order form.

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a The third order ODE can be converted into a firstorder form using the method of redu... View the full answer