Method of Solving Homogeneous Equations with Constant Coefficients

بسم الله الرحمن الرحيم


Method of Solving Homogeneous Equations with Constant Coefficients;


The linear homogeneous diff. eq. with form ;
y^((n))+a_(n-1 ) y^((n-1))+?+a_(1 ) y +a_(0 ) y=0 ….(1)
Where the coefficients a_(j ) ;(j=0,1,2,…,n-1) are constants .
Formed by diff operators as;
f(D)y=(D-?_1 )(D-?_2 )…(D-?_n )y= 0




















The linear homogeneous diff. eq. with form ;
y^((n))+a_(n-1 ) y^((n-1))+?+a_(1 ) y +a_(0 ) y=0 ….(1)
Where the coefficients a_(j ) ;(j=0,1,2,…,n-1) are constants .
Formed by diff operators as;
f(D)y=(D-?_1 )(D-?_2 )…(D-?_n )y=






The linear homogeneous diff. eq. with form ;
y^((n))+a_(n-1 ) y^((n-1))+?+a_(1 ) y +a_(0 ) y=0 ….(1)
Where the coefficients a_(j ) ;(j=0,1,2,…,n-1) are constants .
Formed by diff operators as;
f(D)y=(D-?_1 )(D-?_2 )…(D-?_n )y=