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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.

A

`y_(3)+2y_(2)-y_(1)=0`

B

`4y_(3)+5y_(2)-20y_(1)=0`

C

`y_(3)+2y_(2)-35y_(1)=0`

D

none of these

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIAL EQUATIONS-Exercise
  1. The order of the differential equation whose general solution is gi...

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  2. The equation of the curve satisfying the differential equation y^2 (x^...

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  3. A differential equation associated to the primitive y=a+b e^(5x)+c ...

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  4. Write the order of the differential equation associated with the pr...

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  5. Obtain the differential equation of the family of circles passing thro...

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  6. The solution of the differential equation y(1)y(3)=3y(2)^(2), is

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  7. The degree and order of the differential equation of all parabolas who...

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  8. The differential equation of all parabolas whose axis are parallel t...

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  9. The equation of the curve which is such that the portion of the axi...

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  10. The solution of (dy)/(dx)=(a x+h)/(b y+k) represent a parabola when

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  11. The solution of the differential equation y(dy)/(dx)=x-1 satisfying y(...

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  12. The differential equation of the family of circles of fixed radius r a...

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  13. The solution of (dv)/(dt)+k/m v=-g is

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  14. ydx-xdy+3x^(2)y^(2)e^(x^(3))dx=0

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  15. The curve for which the length of the normal is equal to the length ...

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  16. The family of curves represented by (dy)/(dx) = (x^(2)+x+1)/(y^(2)+y+1...

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  17. The form of the differential equation of the central conics, is

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  18. The solution of the differential eqaution (x^(2)-yx^(2))(dy)/(dx)+y^...

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  19. The solution of differential equation (dy)/(dx)+(2xy)/(1+x^(2))=(1)/(1...

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  20. The equation of the curve through the point (1,0) which satisfies the ...

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