Which of the following differential equations has `y = x` as one of its particular solution?

Which of the following differential equations has y=c_(1)e^(x)+c_(2)e^(-x) as the general solution ?

Which of the following differential equations has y = c_(1)e^(x) + c_(2)e^(-x) as the general solution?

A solution of the differential equation y'=y is

Which of the following is a solution of the equation 2x - y = 6 ?

Which of the following is a solution of the equations 2x-y=6 ?

The solution of the differential equation (dy)/(dx) + y = x is :

For each of the differential equations in find the particular solution satisfying the given condition : (x+y)dy+(x-y)dx=0,y=1 when x=1

For each of the differential equations in find the particular solution satisfying the given condition : (dy)/(dx)-(y)/(x)+cosec((y)/(x))=0,y=0 when x=1

For each of the differential equations in find the particular solution satisfying the given condition : [xsin^(2)((y)/(x))-y]dx+xdy=0,y=(pi)/(2) when x=1