Find the solution of `e^xcosydx-e^xsinydy=0`.

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

Solve : (e^y+1)cosxdx+e^ysinxdy=0

Find the general solution of the following differential equation '(e^x + e^-x)dy - (e^x - e^-x)dx = 0

Find the general solution of the following differential equation e^x tan y dx + (1-e^x)sec^2 y dy =0

The number of solutions to the equation e^(sinx)-e^(-sinx)-4=0 is

Find the particular solution of the differential equation (1+e^(2 x)) d y+(1+y^2) e^x d x=0 given that y=1 when x=0

Find the general solution of the differential equation (x+1)(dy)/(dx) = 2 e^-y - 1 , given that y = 0 when x = 0.

The general solution of the DE dy/dx= e^x-y is

Verify that y=a e^(-x) , (a is a parameter ) is the general solution of y^'+y=0