Find the general solution of the differe...

Find the general solution of the differential equation
`y-x(dy)/(dx)=a(y^(2)+(dy)/(dx))`.

A

y = c(x + a)(1 + ay)

B

y = c(x + a)(1 - ay)

C

y = c(x - a)(1 + ay)

D

None of these

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

Find the general solution of the differential equation (dy)/(dx)-y=cos x

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

Find the general solution of the differential equation x(dy)/(dx)+2y=x^(2)(x!=0)

Find the general solution of the differential equations: (x+y)(dx)/(dy)=1

Find the general solution of the differential equation (dy)/(dx)=(1+y^(2))/(1+x^(2))

Find the general solution of the differential equation (dy)/(dx)=(x+1)/(2-y),(y!=2)

The general solution of the differential equation (dy)/(dx)+y=x^(3) is

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

Find the general solution of the differential equation (dy)/(dx) = (y)/(x) + cos.(y)/(x) .

Find the general solution of the differential equations (dy)/(dx)=(1+x^(2))(1+y^(2))