The solution of the differential equation `(dy)/(dx)=(x^2+x y+y^2)/(x^2),` is
a.) `tan^(-1)(x/y)=logy+C` b.) `tan^(-1)(y/x)=logx+C` c.) `tan^(-1)(x/y)=logx+C` d.) `tan^(-1)(y/x)=logy+C`

The solution of the differential equation x(x^2+1)((dy)/(dx))=y(1-x^2)+x^3logx is

The solution of the differential equation 2x^2y(dy)/(dx)=tan(x^2y^2)-2x y^2, given y(1)=pi/2, is

The solution of differential equation (1+x^(2)) (dy)/(dx) + y = e^(tan^(-1)x)

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

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

The solution of the differential equation (x^2+1)(dy)/(dx)+(y^2+1)=0 is a. y=2+x^2 b. y=(1+x)/(1-x) c. y=x(x-1) d. y=(1-x)/(1+x)

The solution of the differential equation (1+x^2)(dy)/(dx)+1+y^2=0, is a) tan^(-1)x-tan^(-1)y=tan^(-1)C b) tan^(-1)y-tan^(-1)x=tan^(-1)C c) tan^(-1)y+-tan^(-1)x=tan^(\ )C d) tan^(-1)y+tan^(-1)x=tan^(-1)C

Solution of the differential equation tan y.sec^(2) x dx + tan x. sec^(2)y dy = 0 is

The solution of the differential equation (x+y)^2(dy)/(dx)=1 , satisfying the condition y(1)=0 is (A) y+pi/4=tan^(-1)(x+y) (B) y-pi/4=tan^(-1)(x+y) (C) y=tan^(-1)x (D) y=tan^(-1)(ln x)+1

The solution of the differential equation (dy)/(dx)+1=e^(x+y), is a. (x+y)e^(x+y)=0 b. (x+C)e^(x+y)=0 c. (x-C)e^(x+y)=1 d. (x+C)e^(x+y)+1=0