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picture1_Initial Value Problem Differential Equations 175935 | Ma102 4 Equations And Initial Value Problems


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File: Initial Value Problem Differential Equations 175935 | Ma102 4 Equations And Initial Value Problems
ol dehwk rrg differential equations and initial value problems example 2 solve the initial value problem solution step 1 step 2 when x 1 y 0 example 3 solve the ...

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(OL]DEHWK:RRG
       DIFFERENTIAL EQUATIONS AND INITIAL VALUE PROBLEMS
       
           EXAMPLE 2:    Solve the initial value problem. 
                                                  
           SOLUTION: 
           STEP 1: 
                                                      
           STEP 2: When x = -1, y = 0. 
                                                            
           EXAMPLE 3:    Solve the initial value problem. 
                                                
           SOLUTION: 
           STEP 1: 
                                               
           STEP 2: When t =  , s = 1. 
                                                  
           EXAMPLE 4:    Solve the initial value problem. 
                                                     
           SOLUTION: We will have to do the two steps twice to find the solution to this initial 
      Source URL: http://faculty.eicc.edu/bwood/math150supnotes/supplemental19.htm   
      Saylor URL: http://www.saylor.org/courses/ma102/                               
                                                                                     
      © Elizabeth Wood (http://faculty.eicc.edu/bwood/)                        Saylor.org 
      Used by Permission.                                                        2 of 5 
                    value problem. The first time through will give us y ' and the second time through will 
                    give us y. 
                    STEP 1: 
                                                                               
                    STEP 2: When x = 0, y ' = 4. 
                                                                
                    STEP 1: 
                                                                                              
                    STEP 2: When x = 0, y = 1. 
                                                                   
                    EXAMPLE 5:                Solve the initial value problem. 
                                                                                                                               
                    SOLUTION: Since we are working with the fourth derivative, we will have to go 
                    through the two steps four times.  
                    STEP 1: 
                                                                                           
                    STEP 2: When t = 0, y ''' = 7. 
                                                                                       
                    STEP 1: 
          Source URL: http://faculty.eicc.edu/bwood/math150supnotes/supplemental19.htm                                                                    
          Saylor URL: http://www.saylor.org/courses/ma102/                                                                                                
                                                                                                                                                          
          © Elizabeth Wood (http://faculty.eicc.edu/bwood/)                                                                                    Saylor.org 
          Used by Permission.                                                                                                                       3 of 5 
                                                      
           STEP 2: When t = 0, y '' = -1 
                                                      
           STEP 1: 
                                                        
           STEP 2: When t = 0, y ' = -1. 
                                                        
           STEP 1: 
                                                          
           STEP 2: When t = 0, y = 0. 
                                                   
           EXAMPLE 6:    Given the velocity, 
                                                        
                         and the initial position of the body as s (1/2) = 4. Find the body's 
                         position at time t. 
           SOLUTION: 
           STEP 1: 
                                           
      Source URL: http://faculty.eicc.edu/bwood/math150supnotes/supplemental19.htm   
      Saylor URL: http://www.saylor.org/courses/ma102/                               
                                                                                     
      © Elizabeth Wood (http://faculty.eicc.edu/bwood/)                        Saylor.org 
      Used by Permission.                                                        4 of 5 
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...Ol dehwk rrg differential equations and initial value problems example solve the problem solution step when x y t s we will have to do two steps twice find this source url http faculty eicc edu bwood mathsupnotes supplemental htm saylor www org courses ma elizabeth wood used by permission of first time through give us second since are working with fourth derivative go four times given velocity position body as at...

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