Home
Class 12
MATHS
The solution of differential equation (2...

The solution of differential equation `(2y+x y^3)dx+(x+x^2y^2)dy=0` is (a) `( b ) (c) (d) x^(( e )2( f ))( g ) y+( h )(( i ) (j) x^(( k )3( l ))( m ) (n) y^(( o )3( p ))( q ))/( r )3( s ) (t)=c (u)` (v) (b) `( w ) (x) x (y) y^(( z )2( a a ))( b b )+( c c )(( d d ) (ee) x^(( f f )3( g g ))( h h ) (ii) y^(( j j )3( k k ))( l l ))/( m m )3( n n ) (oo)=c (pp)` (qq) (c) `( d ) (e) (f) x^(( g )2( h ))( i ) y+( j )(( k ) (l) x^(( m )4( n ))( o ) (p) y^(( q )4( r ))( s ))/( t )4( u ) (v)=c (w)` (x) (d) None of these

A

` x^2 + (x^3y^3)/(3)`

B

`xy^2 +(x ^3y^3)/(3)=C `

C

`x^2Y+(x^4 Y^4)/(4) =C`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

The solution of the differential equation (dy)/(dx) = e^(3x-2y) +x^(2)e^(-2y) ,is

The solution of the differential equation (dy/dx)^2-(xdy)/dx+y=0 is (A) y=2 (B) y=2x (C) y=2x-4 (D) y=2x^2-4

The solution of the differential equation x^(3)(dy)/(dx)=y^(3)+y^(2)sqrt(y^(2)-x^(2)) is :

The solution of differential equation (x+y(dy)/(dx))/(y-x(dy)/(dx)) = x(cos^(2)(x^(2)+y^(2))/(y^(3))) is

The general solution of the differential equation (y dx-x dy)/y=0 is (A) x y" "=" "C (B) x=C y^2 (C) y" "=" "C x (D) y=C x^2

The solution of the differential equation (dy)/(dx) + x(2x + y) = x^(3) (2x + y)^(3) - 2 is (C being an arbitrary constant)

y = log x + c is a solution of the differential equation x(d^(2)y)/(dx^(2)) + (dy)/(dx) = 0

If y(4)=-2 ,then the solution of differential equation (dy)/(dx)=(y(x+y^(3)))/(x(y^(3)-x)) is

Solution of the differential equation (x+y(dy)/(dx))/(y-x(dy)/(dx))=(x sin^(2)(x^(2)+y^(2)))/(y^(3))

The solution of the differential equation (dy)/(dx)-(y(x+1))/(x)=0 is given by y=ex^(x+C) b.x=ye^(x) c.y=x+C d.xy=e^(x)+C