A differential equation associated to the primitive `y=a+b e^(5x)+c e^(-7x)` is (where `y_n` is `n t h` derivative w.r.t. `x)` (a) `( b ) (c) (d) y_( e )3( f ) (g)+2( h ) y_( i )2( j ) (k)-( l ) y_( m )1( n ) (o)=0( p )` (q) (r) `( s ) (t)4( u ) y_( v )3( w ) (x)+5( y ) y_( z )2( a a ) (bb)-20 (cc) y_( d d )1( e e ) (ff)=0( g g )` (hh) (ii) `( j j ) (kk) (ll) y_( m m )3( n n ) (oo)+2( p p ) y_( q q )2( r r ) (ss)-35 (tt) y_( u u )1( v v ) (ww)=0( x x )` (yy) (d) none of these (zz) `( a a a ) (bbb) w h e r e( c c c )` (ddd) y_n reprersents `( e e e ) (fff) n t h (ggg)` (hhh) order derivative.

Options

A. `y_3 + 2y_2 - y_1 =0`
B. `y_3 + 2y_2 - 35y_1=0`
C. `4y_3 + 5y_2 - 20y_1 =0`
D. None of these

Answer

B