Find the differential equation: (i) `e^x + c e^y = 1 (ii) y = 2(x^2-1) + c e^(-x^2) )`

Find the differentiation of y=e^x/(e^x+1)

The solution of the differential equation x(e^(2y)-1)dy + (x^2-1) e^y dx=0 is

The solution of the differential equation x(e^(2y)-1)dy + (x^2-1) e^y dx=0 is

The solution of the differential equation (dy)/(dx) + 1 = e^(x+y) is a) x + e^(x+y) = c b) x-e^(x+y) = c c) x + e^(-(x+y)) = c d) x-e^(-(x+y))=c

The general solution of the differential equation e^x dy + (y e^x + 2x) dx = 0 is(A) xe^y+x^2=C (B) xe^y+y^2=C (C) ye^x+x^2=C (D) ye^y+x^2=C

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

The differential equation of the family of curves y= c_(1)e^(x) +c_(2)e^(-x) is

The solution of the differential equation x(e^(2y)-1)dy+(x^2-1)e^y dx=0 is

Solve the differential equation e^(x) tan y dx + (1-e^(x))sec^(2) y dy = 0