Home
Class 12
MATHS
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)

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

The solution of y(2xy+e^x)dx-e^xdy=0 is (A) x^2+ye^(-x)=C (B) xy^2+e^(-x)=C (C) x/y+e^(-x)/x^2=C (D) x^2+e^x/y=C

In Fig.113, if \ A C D F\ a n d\ A B C E , then (a) ( b ) (c) x=145 ,\ y=223 (d) (e) (b) ( f ) (g) x=223 ,\ y=145 (h) (i) (c) ( d ) (e) x=135 ,\ y=223 (f) (g) (d) ( h ) (i) x=233 ,\ y=135 (j) (k)

The solution of the differential eqution (d^(2)y)/(dx^(2)) = e^(-2x) is y = c_(1)e^(-2x) +c_(2)x + c_(3) where c_(1) is

In Fig.107, If A O B\ a n d\ C O D are straight lines, then (a) ( b ) (c) x=29 ,\ y=100 (d) (e) (b) ( f ) (g) x=100 ,\ y=29 (h) (i) (c) ( d ) (e) x=29 ,\ y=110 (f) (g) (d) ( h ) (i) x=39 ,\ y=110 (j) (k)

D.E whose solution is y=e^(3x)(c_(1)cos x+c_(2)sin x)

If y=e^( sinx ) the value of (dy)/(dx) at x=(pi)/(2) is , (a) 1 , (b) e , (c) 0 ,(d) not defined .

The solution of cos(x+y)dy=dx is (A) y=cos^-1(y/x)+C (B) y=xsec(y/x)+C (C) y=tan((x+y)/2)+C (D) none of these

The solution of the equation (e^x+1)ydy+(y+1)dx=0 , is (A) e^(x+y)=C(y+1)e^x (B) e^(x+y)=C(x+1)(y+1) (C) e^(x+y)=C(y+1)(1+e^x) (D) e^(xy)=C(x+y)(e^x+1)