`y=e^0` then `(dy)/(dx)`=
a) 1
b) e
c) 0
d) `e^0`

If y=cos^(-1)((5cosx-12sinx)/(13)),w h e r ex in (0,pi/2), then (dy)/(dx) is. (a)1 (b) -1 (c) 0 (d) none of these

If x e^(x y)-y=sin^2x then (dy)/(dx)a tx=0 is a. 0 b. 1 c. -1 d. none of these

If y=tan^(-1){((log)_e(e//x^2))/((log)_e(e x^2))}+tan^(-1)((3+2\ (log)_e x)/(1-6\ (log)_e x)) , then (d^2y)/(dx^2)= (a) 2 (b) 1 (c) 0 (d) -1

if ( dy )/(dx) =1 + x +y +xy and y ( -1) =0 , then the value of ( y (0) +3 - e^(1//2))

Find the particular solution of the differential equation (1 + e^(2x)) dy + (1 + y^2) e^x dx = 0 , given that y = 1 w h e n x = 0 .

In triangles A B C and D E F , /_A=/_E=40^0 , A B : E D=A C : E F and /_F=65^0 , then /_B= (a) 35^0 (b) 65^0 (c) 75^0 (d) 85^0

Statement 1: If e^(xy)+ln(xy)+cos(xy)+5=0, then (dy)/(dx)=-y/x . Statement 2: d/(dx)(xy)=0,y is a function of x implies(dy)/(dx)=-y/x .

If /_\A B C and /_\D E F are similar triangles such that /_A=47^0 and /_E=83^0 , then /_C= (a) 50^0 (b) 60^0 (c) 70^0 (d) 80^0

The solution of (dy)/(dx)+y=e^(-x), y(0)=0 is

The solution of (dy)/(dx)+y=e^(-x), y(0)=0 " is"