Related InterviewSolutions

• Find the general solution of the differential equations:`(1+x^2)dy+2x y dx=cotx dx(x!=0)`
• If `y=x/(In|cx|)` (where c is an arbitrary constant) is the general solution of the differential equation `(dy)/(dx)=y/x+phi(x/y)` then function `phi(x/y)` is:A. `x^(2)//y^(2)`B. `-x^(2)//y^(2)`C. `y^(2)//x^(2)`D. `-y^(2)//x^(2)`
• `y(1+logx)(dx)/(dy)-xlogx=0, y=e^(2)" if "x=w`A. `y=exlogx`B. `ey=xlogx`C. `x=eylogy`D. `ex=ylogy`
• Find the general solution of the differential equations:`xlogx(dx)/(dy)+y=2/xlogx`
• `e^(dy//dx)=1`A)`y=x+c`B)`y=e^(x)+c`C)`y=c`D)`y=cx+d`A. `y=x+c`B. `y=e^(x)+c`C. `y=c`D. `y=cx+d`
• `(dy)/(dx)=(y)/(x)-x/(y),` where `y=vx` A)`y^(2)=xlog((c)/(x))` B)`y^(2)=4xlog((c)/(x))` C)`y^(2)=2x^(2)log((c)/(x))` D)`v^(2)=2clogv`A. `y^(2)=xlog((c)/(x))`B. `y^(2)=4xlog((c)/(x))`C. `y^(2)=2x^(2)log((c)/(x))`D. `v^(2)=2clogv`
• `e^(dy//dx)=x`A)`y=xlog((x)/(e))+c`B)`y=xlogx+c`C)`y=e^(x)+c`D)`x=ylog(ex)+c`A. `y=xlog((x)/(e))+c`B. `y=xlogx+c`C. `y=e^(x)+c`D. `x=ylog(ex)+c`
• The differential equations, find a particular solution satisfying the given condition: `(x^3+x^2+x+1)(dy)/(dx)=2x^2+x ; y=1`when `x = 0`
• Find the general solution of the differential equations `(dy)/(dx)=sin^(-1)x`
• The differential equation of the family of curves `y=e^x(Acosx+Bsinx),`where `A`and `B`arearbitrary constants is(a) `( b ) (c) (d)(( e ) (f) d^(( g )2( h ))( i ) y)/( j )(( k ) d (l) x^(( m )2( n ))( o ))( p ) (q)-2( r )(( s ) dy)/( t )(( u ) dx)( v ) (w)+2y=0( x )`(y)(z) `( a a ) (bb) (cc)(( d d ) (ee) d^(( f f )2( g g ))( h h ) y)/( i i )(( j j ) d (kk) x^(( l l )2( m m ))( n n ))( o o ) (pp)+2( q q )(( r r ) dy)/( s s )(( t t ) dx)( u u ) (vv)+2y=0( w w )`(xx)(yy)`( z z ) (aaa) (bbb)(( c c c ) (ddd) d^(( e e e )2( f f f ))( g g g ) y)/( h h h )(( i i i ) d (jjj) x^(( k k k )2( l l l ))( m m m ))( n n n ) (ooo)+( p p p ) (qqq)(( r r r ) (sss) (ttt)(( u u u ) dy)/( v v v )(( w w w ) dx)( x x x ) (yyy) (zzz))^(( a a a a )2( b b b b ))( c c c c )+y=0( d d d d )`(eeee)(ffff)`( g g g g ) (hhhh) (iiii)(( j j j j ) (kkkk) d^(( l l l l )2( m m m m ))( n n n n ) y)/( o o o o )(( p p p p ) d (qqqq) x^(( r r r r )2( s s s s ))( t t t t ))( u u u u ) (vvvv)-7( w w w w )(( x x x x ) dy)/( y y y y )(( z z z z ) dx)( a a a a a ) (bbbbb)+2y=0( c c c c c )`(ddddd)A. `(d^(2)y)/(dx^(2))-2(dy)/(dx)+2y=0`B. `(d^(2)y)/(dx^(2))+2(dy)/(dx)-2y=0`C. `(d^(2)y)/(dx^(2))+((dy)/(dx))^(2)+y=0`D. `(d^(2)y)/(dx^(2))-7(dy)/(dx)+2y=0`