EXERCISE . Choose the correct or the most suitable answer from the given four alternatives : . The order and degree of the differential equation d y + / / are respectively ( ) ( ) ( ) ( ) . The differential equation representing the family of curves y B Acos( ), where A and B are parameters, is ( ) d y ( ) d y ( ) d y ( ) d x .
The order and degree of the differential equation sin ) = ) is ( ) ( ) ( ) ( ) . The order of the differential equation of all circles with centre at h k ) and radius ‘ a ’ is ( ) ( ) ( ) ( ) . The differential equation of the family of curves y A B , where A and B are arbitrary constants is ( ) d y ( ) d y ( ) dy = ( ) dy = . The general solution of the differential equation dy is ( ) xy k ( ) y k ( ) y kx ( ) log y kx .
The solution of the differential equation x dy represents ( ) straight lines ( ) circles ( ) parabola ( ) ellipse . The solution of dy p x y is ( ) y ce pdx ( ) y ce pdx ( ) x ce pdy ( ) x ce pdy . The integrating factor of the differential equation dy = + is ( ) x e x ( ) e ( ) xe x ( ) e x . The integrating factor of the differential equation dy P x y Q x ( ) is x , then P x ( ) x ( ) x ( ) ( ) x .
The degree of the differential equation y x .... = + + ⋅ + ⋅⋅ + is ( ) ( ) ( ) ( ) . If p and