Question: how to eliminate in this case and how to multiply

Question 1

a := miu1 = Diff(lambda1(t),t) + lambda3(t);

b := miu2 = Diff(lambda2(t),t) + lambda1(t) - 4*lambda3(t);

c := miu3 = Diff(lambda3(t),t) + lambda2(t) - 3*lambda3(t);

d := miu = 2*Diff(lambda3(t),t$2) - 5*Diff(lambda3(t),t) + 7*lambda3(t);

 

how to eliminate all derivatives of lambda in miu

 

result in

miu - 2*Diff(miu3,t) - miu3 + 2*miu2 = 2*lambda1 - lambda2 + 2*lambda3;

 

Question 2

how to multiply these equations by xbar1, xbar2, xbar3 and ubar

 

u = ubar

 

result in

 

x1 = xbar1

x2 = xbar2 + 2*u

x3 = xbar3 + 2*Diff(u,t) - u

 

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