Project #106443 - elementary differential equation

1 .  Determine the region(s) of the x-y plane for which the given D.E. would have

      solutions  that are unique according to the existence theorem .                                  [2]

      Also, sketch the solution region .    

      pastedGraphic.png

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2.  Use Euler’s method to approximate the solution (to four decimal places ) to the given

     initial value problem at  x = 0.1, 0.2, 0.3  using steps of size  0.1 (i.e  h = 0.1 ) .

    pastedGraphic_1.png.   [  hint :  f (x, y)  =  y (2 – y)  and  pastedGraphic_2.png ]         [3]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

3. Find the general solution of the following homogeneous linear differential equation

     with constant coefficients.                                                                                            [2]                            

     pastedGraphic_3.png                                                                  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

4.  Find the particular solution of the following homogeneous linear differential equation

     with constant coefficients.                                                                                            [3]                            

     pastedGraphic_4.png                                                                         

   

 

 

Subject Mathematics
Due By (Pacific Time) 02/01/2016 08:00 am
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