The solution of y e^(-x/y)dx-(x e^((-x/y...

The solution of `y e^(-x/y)dx-(x e^((-x/y))+y^3)dy=0` is (a) `( b ) (c) (d) e^(( e ) (f)-( g ) x/( h ) y (i) (j) (k))( l )+( m ) y^(( n )2( o ))( p )=C (q)` (r) (b) `( s ) (t) x (u) e^(( v ) (w)-( x ) x/( y ) y (z) (aa) (bb))( c c )+y=C (dd)` (ee) (c) `( d ) (e)2( f ) e^(( g ) (h)-( i ) x/( j ) y (k) (l) (m))( n )+( o ) y^(( p )2( q ))( r )=C (s)` (t) (d) `( u ) (v) (w) e^(( x ) (y)-( z ) x/( a a ) y (bb) (cc) (dd))( e e )+2( f f ) y^(( g g )2( h h ))( i i )=C (jj)` (kk)

` e^(-x//y) + Y^2=C`

` xe ^(-x//y) + Y=0`

` 2e ^(-x//y)+y^2 = c`

` e^(-x//y ) + 2y ^2 =c`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

DIFFERENTIAL EQUATIONS
VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|11 Videos
DIFFERENTIAL EQUATIONS
VMC MODULES ENGLISH|Exercise JEE MAIN (ARCHIVE )|28 Videos
DIFFERENTIAL EQUATIONS
VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE )|32 Videos
DIFFERENTIAL CALCULUS 2
VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos
FUNCTIONS
VMC MODULES ENGLISH|Exercise JEE Main & Advanced|8 Videos

Similar Questions

Explore conceptually related problems

The solution of (d v)/(dt)+k/m v=-g is (a) ( b ) (c) v=c (d) e^(( e ) (f) (g) k/( h )g( i ) (j) t (k))( l )-( m )(( n ) mg)/( o ) k (p) (q) (r) (s) (b) ( t ) (u) v=c-( v )(( w ) mg)/( x ) k (y) (z) (aa) e^(( b b ) (cc) (dd) k/( e e ) m (ff) (gg) t (hh))( i i ) (jj) (kk) (c) ( d ) (e) v (f) e^(( g ) (h) (i) k/( j ) m (k) (l) t (m))( n )=c-( o )(( p ) mg)/( q ) k (r) (s) (t) (u) (d) ( v ) (w) v (x) e^(( y ) (z) (aa) k/( b b ) m (cc) (dd) t (ee))( f f )=c-( g g )(( h h ) mg)/( i i ) k (jj) (kk) (ll) (mm)

Solution of (dy)/(dx)+2x y=y is (a) ( b ) (c) y=c (d) e^( e ) (f) x-( g ) x^((( h )2( i ))( j ) (k))( l ) (m) (n) (b) ( o ) (p) y=c( q ) e^( r ) (s) (t) x^((( u )2( v ))( w )-x (x))( y ) (z) (aa) (c) ( d ) (e) y=c( f ) e^(( g ) x (h))( i ) (j) (k) (d) ( l ) (m) y=c (n) e^( o ) (p)-( q ) x^((( r )2( s ))( t ) (u))( v ) (w) (x)

The differential equation of all parabolas whose axis are parallel to the y-axis is (a) ( b ) (c) (d)(( e ) (f) d^(( g )3( h ))( i ) y)/( j )(( k ) d (l) x^(( m )3( n ))( o ))( p ) (q)=0( r ) (s) (b) ( t ) (u) (v)(( w ) (x) d^(( y )2( z ))( a a ) x)/( b b )(( c c ) d (dd) y^(( e e )2( f f ))( g g ))( h h ) (ii)=C (jj) (kk) (c) ( d ) (e) (f)(( g ) (h) d^(( i )3( j ))( k ) y)/( l )(( m ) d (n) x^(( o )3( p ))( q ))( r ) (s)+( t )(( u ) (v) d^(( w )2( x ))( y ) x)/( z )(( a a ) d (bb) y^(( c c )2( d d ))( e e ))( f f ) (gg)=0( h h ) (ii) (d) ( j j ) (kk) (ll)(( m m ) (nn) d^(( o o )2( p p ))( q q ) y)/( r r )(( s s ) d (tt) x^(( u u )2( v v ))( w w ))( x x ) (yy)+2( z z )(( a a a ) dy)/( b b b )(( c c c ) dx)( d d d ) (eee)=C (fff) (ggg)

Solve y e^(x/y)dx=(x e^(x/y)+y^2)dy ,(y!=0)dot

The solution of the differential equation (dy)/(dx)=(3x^2y^4+2x y)/(x^2-2x^3y^3) is (a) ( b ) (c) (d)(( e ) (f) y^(( g )2( h ))( i ))/( j ) x (k) (l)-( m ) x^(( n )3( o ))( p ) (q) y^(( r )2( s ))( t )=c (u) (v) (w) ( x ) (y) (z)(( a a ) (bb) x^(( c c )2( d d ))( e e ))/( f f )(( g g ) (hh) y^(( i i )2( j j ))( k k ))( l l ) (mm)+( n n ) x^(( o o )3( p p ))( q q ) (rr) y^(( s s )3( t t ))( u u )=c (vv) (ww) (xx) ( y y ) (zz) (aaa)(( b b b ) (ccc) x^(( d d d )2( e e e ))( f f f ))/( g g g ) y (hhh) (iii)+( j j j ) x^(( k k k )3( l l l ))( m m m ) (nnn) y^(( o o o )2( p p p ))( q q q )=c (rrr) (sss) (d) ( t t t ) (uuu) (vvv)(( w w w ) (xxx) x^(( y y y )2( z z z ))( a a a a ))/( b b b b )(( c c c c )3y)( d d d d ) (eeee)-2( f f f f ) x^(( g g g g )3( h h h h ))( i i i i ) (jjjj) y^(( k k k k )2( l l l l ))( m m m m )=c (nnnn) (oooo)

The solution of (x^2+x y)dy=(x^2+y^2)dx is (a) ( b ) (c)logx=log(( d ) (e) x-y (f))+( g ) y/( h ) x (i) (j)+c (k) (l) (m) ( n ) (o)logx=2log(( p ) (q) x-y (r))+( s ) y/( t ) x (u) (v)+c (w) (x) (y) ( z ) (aa)logx=log(( b b ) (cc) x-y (dd))+( e e ) x/( f f ) y (gg) (hh)+c (ii) (jj) (kk) None of these

The solution of differential equation x y^(prime)=x((y^2)/(x^2)+(f((y^2)/(x^2)))/(f^(prime)((y^2)/(x^2)))) is (a) ( b ) (c)f(( d ) (e) (f)(( g ) (h) y^(( i )2( j ))( k ))/( l )(( m ) (n) x^(( o )2( p ))( q ))( r ) (s) (t))=c (u) x^(( v )2( w ))( x ) (y) (z) (b) ( a a ) (bb) (cc) x^(( d d )2( e e ))( f f )f(( g g ) (hh) (ii)(( j j ) (kk) y^(( l l )2( m m ))( n n ))/( o o )(( p p ) (qq) x^(( r r )2( s s ))( t t ))( u u ) (vv) (ww))=( x x ) c^(( y y )2( z z ))( a a a ) (bbb) y^(( c c c )2( d d d ))( e e e ) (fff) (ggg) (c) ( d ) (e) (f) x^(( g )2( h ))( i )f(( j ) (k) (l)(( m ) (n) y^(( o )2( p ))( q ))/( r )(( s ) (t) x^(( u )2( v ))( w ))( x ) (y) (z))=c (aa) (bb) (d) ( c c ) (dd)f(( e e ) (ff) (gg)(( h h ) (ii) y^(( j j )2( k k ))( l l ))/( m m )(( n n ) (oo) x^(( p p )2( q q ))( r r ))( s s ) (tt) (uu))=( v v )(( w w ) c y)/( x x ) x (yy) (zz) (aaa) (bbb)

Orthogonal trajectories of family of the curve x^(2/3)+y^2/3=a^((2/3)) , where a is any arbitrary constant, is (a) ( b ) (c) (d) x^(( e ) (f) (g)2/( h )3( i ) (j) (k))( l )-( m ) y^(( n ) (o) (p)2/( q )3( r ) (s) (t))( u )=c (v) (w) (b) ( x ) (y) (z) x^(( a a ) (bb) (cc)4/( d d )3( e e ) (ff) (gg))( h h )-( i i ) y^(( j j ) (kk) (ll)4/( m m )3( n n ) (oo) (pp))( q q )=c (rr) (ss) (c) ( d ) (e) (f) x^(( g ) (h) (i)4/( j )3( k ) (l) (m))( n )+( o ) y^(( p ) (q) (r)4/( s )3( t ) (u) (v))( w )=c (x) (y) (d) ( z ) (aa) (bb) x^(( c c ) (dd) (ee)1/( f f )3( g g ) (hh) (ii))( j j )-( k k ) y^(( l l ) (mm) (nn)1/( o o )3( p p ) (qq) (rr))( s s )=c (tt) (uu)

The differential equation of the family of curves y=e^x(Acosx+Bsinx), where A and B are arbitrary 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)

Tangent to a curve intercepts the y-axis at a point Pdot A line perpendicular to this tangent through P passes through another point (1,0). The differential equation of the curve is (a) ( b ) (c) y (d)(( e ) dy)/( f )(( g ) dx)( h ) (i)-x (j) (k)(( l ) (m) (n)(( o ) dy)/( p )(( q ) dx)( r ) (s) (t))^(( u )2( v ))( w )=1( x ) (y) (b) ( z ) (aa) (bb)(( c c ) x (dd) d^(( e e )2( f f ))( g g ))/( h h )(( i i ) d (jj) x^(( k k )2( l l ))( m m ))( n n ) (oo)+( p p ) (qq)(( r r ) (ss) (tt)(( u u ) dy)/( v v )(( w w ) dx)( x x ) (yy) (zz))^(( a a a )2( b b b ))( c c c )=0( d d d ) (eee) (c) ( d ) (e) y (f)(( g ) dx)/( h )(( i ) dy)( j ) (k)+x=1( l ) (m) (d) None of these

VMC MODULES ENGLISH-DIFFERENTIAL EQUATIONS-LEVEL -2

If f(x) and g(x) are two solutions of the differential equation a (d^(...
Text Solution
|
The solution of the differential equation (dy)/(dx) = e^(x-y) (e^(x...
Text Solution
|
Solve (dx )/(dy) +x/y= sin y
Text Solution
|
Solve: y^(4)dx+2xy^(3)dy=(ydx-xdy)/(x^(3)y^(3))
Text Solution
|
A normal is drawn at a point P(x , y) of a curve. It meets the x-axis ...
Text Solution
|
If inta^x ty(t)dt=x^2+y(x), then find y(x)
Text Solution
|
The solution of differential equation x y^(prime)=x((y^2)/(x^2)+(f((y^...
Text Solution
|
Solution of the differential equation (y+xsqrt(x y)(x+y))dx+(ysqrt(x y...
Text Solution
|
A function y=f(x) satisfies (x+1)f^(')(x)-2(x^(2)+x)f(x) = e^(x^(2))/(...
Text Solution
|
The solution of the differential equation ( dy ) /( dx) +y/x = c...
Text Solution
|
The solution of the differential equation 2x ^(2)y (dy)/(dx) = tan ( x...
Text Solution
|
The solution of differential equation (2y+xy^(3))+(x+x^(2)y^(2))=0 i...
Text Solution
|
The solution of y e^(-x/y)dx-(x e^((-x/y))+y^3)dy=0 is (a) ( b ) (c...
Text Solution
|
The curve satisfying the equation (dy)/(dx)=(y(x+y^3))/(x(y^3-x)) and ...
Text Solution
|
The solution of the differential equation {1+xsqrt(x^(2)+y^(2))}dx +...
Text Solution
|
Tangent to a curve intersect y-axis at a point P. A line perpendicular...
Text Solution
|
The curve in the first quadrant for which the normal at any point (...
Text Solution
|
The family of curves represented by (dy)/(dx) = (x^(2)+x+1)/(y^(2)+y+1...
Text Solution
|
A normal at P(x,y) on a curve meets the x-axis at Q and N is the foot ...
Text Solution
|
The normal to a curve at P(x , y) meet the x-axis at Gdot If the ...
Text Solution
|