Convert the given initial value problem into an initial value problem for a system in normal...

    

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Convert the given initial value problem into an initial value problem for a system in normal form. y(6)(t)=3[y'(t)]4 +3 cos (y(t))+8e2t y(0)=y'(0) = ... =y(5) (0) = 0 Let x = y, x2 = y', x3 =y", x4 = y(3), x5 =y(4), and x6 = y (5). Complete the differential equation and initial condition for x. x(0) = Complete the differential equation and initial condition for X2. X2 x2(0)= Complete the differential equation and initial condition for x3. X3 X3 (0)= Complete the differential equation and initial condition for x4. 4 4 (0) = Complete the differential equation and initial condition for X5. X5 X5(0)= Complete the differential equation and initial condition for x6. Convert the given initial value problem into an initial value problem for a system in normal form. y(6)(t)=3[y'(t)]4 +3 cos (y(t))+8e2t y(0)=y'(0) = ... =y(5) (0) = 0 Let x = y, x2 = y', x3 =y", x4 = y(3), x5 =y(4), and x6 = y (5). Complete the differential equation and initial condition for x. x(0) = Complete the differential equation and initial condition for X2. X2 x2(0)= Complete the differential equation and initial condition for x3. X3 X3 (0)= Complete the differential equation and initial condition for x4. 4 4 (0) = Complete the differential equation and initial condition for X5. X5 X5(0)= Complete the differential equation and initial condition for x6.