http://www.mapleprimes.com/questions/142797-Reducing-Order-Of-System-Of-Differential en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Tue, 09 Jun 2026 11:14:30 GMT Tue, 09 Jun 2026 11:14:30 GMT The latest answers and comments added to the Question, Reducing order of system of differential equations http://www.mapleprimes.com/images/mapleprimeswhite.jpg http://www.mapleprimes.com/questions/142797-Reducing-Order-Of-System-Of-Differential http://www.mapleprimes.com/questions/142797-Reducing-Order-Of-System-Of-Differential?ref=Feed:MaplePrimes:Reducing order of system of differential equations:Comments#answer142817 <p>Let T3(t) = diff(T1(t),t,t) (*)&nbsp; and T4(t) = diff(T2(t),t,t)&nbsp; (**). Then your first given ode can be written as</p> <p>A1*diff(T3(t),t,t) + A2*T3(t) +&nbsp; A3*T1(t) + A4*T4(t) + A5*T2(t) = 0.</p> <p>The other given ode can be rewritten similarly. With those two eqs and&nbsp; (*) and (**) you have 4 odes of order 2.</p> <p>Let T3(t) = diff(T1(t),t,t) (*)&nbsp; and T4(t) = diff(T2(t),t,t)&nbsp; (**). Then your first given ode can be written as</p> <p>A1*diff(T3(t),t,t) + A2*T3(t) +&nbsp; A3*T1(t) + A4*T4(t) + A5*T2(t) = 0.</p> <p>The other given ode can be rewritten similarly. With those two eqs and&nbsp; (*) and (**) you have 4 odes of order 2.</p> 142817 Wed, 30 Jan 2013 19:08:55 Z Preben Alsholm Preben Alsholm http://www.mapleprimes.com/questions/142797-Reducing-Order-Of-System-Of-Differential?ref=Feed:MaplePrimes:Reducing order of system of differential equations:Comments#comment142836 <p>After that how can I obtain T1(t) and T2(t) after substitutions becasue new odes are not with constant coefficients?</p> <p>Are there analytical solutions of these functions?</p> <p>After that how can I obtain T1(t) and T2(t) after substitutions becasue new odes are not with constant coefficients?</p> <p>Are there analytical solutions of these functions?</p> 142836 Wed, 30 Jan 2013 22:26:02 Z georgeee georgeee