Find a such that the solution of y'' + y' − 2y = 0, y(0) = a, y' (0) = 1 tends to zero as t → +∞.
       
      
                
     
    
    
    
    
    1 answer:
            
              
              
                
                
Answer:
Step-by-step explanation:

Auxialary equation is

General solution is



Eliminate B to get
3A =a-1
We know that y tends to 0 when x tends to infinity for any finite A
i.e. a should be a finite real number.
 
                                
             
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Answer:
7/10
Step-by-step explanation:
 
        
                    
             
        
        
        
9a)
4x - 2 + 30  = 68
4x + 28 = 68
4x = 40
  x = 10
9b)
y = 180 -68
y= 112
        
             
        
        
        
Answer:
x= -19
Step-by-step explanation:
2x-4x-9=29
-2x=29+9
x=38/-2
 = -19
 
        
                    
             
        
        
        
Answer:
x = 50
Step-by-step explanation:
101 + (x + 29) = 180
130 + x = 180
x = 180 - 130
x = 50