# Question:Doing some Substitution

## Question:Doing some Substitution

Maple 2018

How I can do following procedure?

Thank you.

Substitution of Eqs. (5,6,7) into Eqs. (1)–(4), gives the new equation as functions of the generalized coordinates,
u_m,n(t);  v_m,n ( t), and w_m,n ( t). These expressions are then inserted in the Lagrange equations (see Eq. (8)) resulting into a set of N second-order coupled ordinary differential equations with both quadratic   and cubic nonlinearities.

In Eq (8) q are generalized coordinate such as u,v,w  and .

\where the elements of the vector, are the time-dependent generalized coordinates.

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 (1)
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 (2)
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 (3)
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 (4)
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 (5)
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 (6)
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 (7)
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 (8)
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