`y=ae^(-1/x)+b` is a solution of `dy/dx=y/x^2`,then (a)`ainR` (b)`b=0` (c)`b=1` (d)`a` takes finite number of values

y=ae^(-(1)/(x))+b is a solution of (dy)/(dx)=(y)/(x^(2)), then ( a) a in R( b) b=0(c)b=1(d)a takes finite number of values

y=ae^(-(1)/(x))+b is a solution of (dy)/(dx)=(y)/(x^(2)) when

Verify y =a/x+b is solution of x (d ^2 y)/(dx ^(2)) + 2 (dy)/(dx) = 0

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

xy=(x+y)^(n) and (dy)/(dx)=(y)/(x) thenn =1b.2c3d.4

The system of equations -2x+y+z=a , x-2y+z=b , x+y-2z=c , has: (a)no solution if a+b+c!=0 (b)unique solution if a+b+c=0 (c)infinite number of solutions if a+b+c=0 (d)none of these

The system of equations -2x+y+z=a , x-2y+z=b , x+y-2z=c , has: (a)no solution if a+b+c!=0 (b)unique solution if a+b+c=0 (c)infinite number of solutions if a+b+c=0 (d)none of these

The system of equations -2x+y+z=a , x-2y+z=b , x+y-2z=c , has: (a)no solution if a+b+c!=0 (b)unique solution if a+b+c=0 (c)infinite number of solutions if a+b+c=0 (d)none of these

xy=( x+y )^n and dy/dx = y/x then n= 1 b. 2 c. 3 d. 4