The term "autonomous" refers to an ordinary differential equation that relates the derivatives of the dependent variable as a function *only* of the dependent variable. In other words, the ODE doesn't explicitly depend on the independent variable.
Examples:

 is autonomous

 is *not* autonomous
 
        
        
        
Answer:
15%
Step-by-step explanation:
The cost of 2 adults and 2 children without the discount is
2 adults = 2 (55) = 110
2 children = 2 (45) = 90
Total cost = 110+90 = 200
The original price is 200 and the new price is 170
Percentage discount = (Original price - new price)/ original price * 100%
                                      = (200-170)/200 * 100%
                                      = 30/200 * 100%
                                      = .15 * 100%
                                      = 15%
 
        
             
        
        
        
Answer:
0/0 = undefined not 1 
Step-by-step explanation: Undefined means there are no solutions possible for the operations in view. The example in question is itself wrong. n/0 is infinite but not undefined. 0/0 is undefined
 
        
             
        
        
        
Answer:
1/6 if you meant to put an X afterwards. If not, there is no slope.
Step-by-step explanation: