Question: decompose the equation

How to achieve that Maple, decompose the equation:  
 
Diff(x,t,t)+3*Diff(x,t)^2+5*x=1;
                        / 2  \            2         
                        |d   |     / d   \          
                        |-- x| + 3 |--- x|  + 5 x = 1
                        \    /     \ dt  /          
-3*Diff(x,t)^2-5*x+1 = Diff(x,t,t);
                                  2              2 
                           / d   \              d  
                        -3 |--- x|  - 5 x + 1 = -- x
                           \ dt  /                 
in this two:
Diff(x[2],t)=-3*x[2]^2-5*x[1]+1;
                       d                2            
                      --- x[2] = -3 x[2]  - 5 x[1] + 1
                       dt                            
Diff(x[1],t)=x[2];
                                d            
                               --- x[1] = x[2]
                                dt           
Es posible? alguna sugerencia? HerClau
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