If `(x^2+y^2)dy=xydx` and `y(1)=1`. If `y(x_0)=e` then `x_0` is equal to (A) `sqrt(2)e` (B) `sqrt(3)e` (C) `2e` (D) `e`

If (x^(2)+y^(2))dy=xydx and y(1)=1 and y(x_(o))=e, then x_(o)=

If y=x+e^(x), then (d^(2)x)/(dy^(2)) is equal to

If x^3dy+ xydx= 2ydx +x^2dy and y(2) =e then y(4) = ?

If dy/dx=(y+1)[(y+1)e^(x^2/2)-x] , y(0)=2 then y'(1) is equal to

If x^(3)dy+xydx=x^(2)dy+2ydx,y(2)=e then y(-1)=

If x^(3)dy+xydx=x^(2)dy+2ydx,y(2)=e then y(-1)=

If ln((e-1)e^(xy)+x^(2))=x^(2)+y^(2) then ((dy)/(dx))_(1,0) is equal to

Let y(x) is the solution of differential equation (dy)/(dx)+y=x log x and 2y(2)=log_(e)4-1 Then y(e) is equal to (A) (e^(2))/(2) (B) (e)/(2)(C)(e)/(4)(D)(e^(2))/(4)

If x=e^(y+e^(y+e^y^(------ ∞))) , x>0 , then (dy)/(dx) is equal to (A) (x)/(1+x) (B) (1)/(x) (C) (1-x)/(x) (D) (1+x)/(x)

Solution of the differential equation (xy+y+e^(-x))dx+(x+e^(-x))dy=0 when y(0)=1 Then y(-1)= is equal to (A)(e)/(e-1)(B)(2e)/(e-1)(C)(e)/(1-e)(D)0