Home
Class 12
MATHS
The solution of 2 (y + 3) - x y(dy)/(dx)...

The solution of `2 (y + 3) - x y(dy)/(dx) = 0` with `y =-2,` when ` x =1` is :a)`(y + 3) = x ^(2)` b)`x ^(2) (y + 3) = 1` c)`x ^(4) (y + 3) = 1` d)`x ^(2) ( y +3) ^(2) = e ^(y +2)`

A

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

B

`x ^(2) (y + 3) = 1`

C

`x ^(4) (y + 3) = 1`

D

`x ^(2) ( y +3) ^(2) = e ^(y +2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

2 x y+y^2-2 x^2 (dy)/(dx)=0 , y=2 when x=1

The solution of the differential equation x (dy)/(dx) + y = (1)/(x^(2)) at (1, 2) is a) x^(2)y + 1 = 3x b) x^(2)y + 1 = 0 c) xy + 1 = 3x d) x^(2) (y + 1) = 3x

If y = 2 ^(x) . 3 ^(2x-1) , then (d ^(2) y )/( dx ^(2)) is equal to :

The locus of the middle point of the chord of the circle x ^(2) + y ^(2) = a ^(2) such that the chords passes through a given point (x _(1) , y _(1)), is : a) x ^(2) + y ^(2) - x x _(1) - y y _(1) =0 b) x ^(2) + y ^(2) = x _(1) ^(2) + y _(1) ^(2) c) x + y = x _(2) + y _(1) d) x + y = x _(1) ^(2) + y _(1) ^(2)

The solution of the differential equation (dy)/(dx) = (3e^(2x) + 3e^(4x) )/( e^(x) + e^(-x) ) is a) y= e^(3x) + C b) y=2e^(2x) + C c) y= e^(x) + C d) y= e^(4x) + C

The solution of cos y (dy)/(dx)=e^(x+ sin y)+x^2 e^(sin y) is a) e^x-e^(- sin y)+x^3/3=c b) e^(-x)-e^(- sin y)+x^3/3=c c) e^(x)+e^(- sin y)+x^3/3=c d) e^(x)-e^(sin y)-x^3/3=c

If xe^(xy) + ye^(-xy) = sin ^(2) x , then (dy)/(dx) at x =0 is a) 2y^(2) -1 b) 2y c) y^(2) -y d) y^(2) -1