There are 3 entities in a bookstore database as follows 1 Au

There are 3 entities in a bookstore database as follows, (1) Author, (2) Book, and (3) Publisher. Each book may have more than one author, and each author may write more than one book. Each book was only published by one publisher, and one publisher can publish many books. Please Draw an ER diagram for this system.

Solution

Solution: The given differential equation is                                              (1)

For the given differential equation of (1), the auxiliary equation is

i.e.    A.E.=m²-2m+2=0

(m-1)(m-2)=0 i.e. m=1 and m=2

The complementary factor(C.F)=C₁e^x+C₂e^2x, let u=e^x , v=e^2x and

Using variation of parameters , we have

Y_p= Au+Bv when

Now the particular intergration of the given differential equation is

Y_p=Au+Bv= -4e^-x+

The solution of the given differential equation (1) is

Y_c+Y_p.