[" ii) "x(1+y^(2))dx+y(1+x^(2))dy=0],[" (ii) "dy-rho x+y]

x(2y-1)dx+(x^(2)+1)dy=0

y(1+x^(2))dy=x(1+y^(2))dx

y(1-x^(2))dy=x(1+y^(2))dx

Solve the differential equation: (i) (1+y^2) + ( x - e^(tan^-1 y) ) dy/dx = 0 (ii) x dy/dx + cos^2 y = tan y dy/dx

Solve the differential equation: (i) (1+y^(2))+(x-e^( tan ^(-1)y))(dy)/(dx)=0 (ii) x(dy)/(dx)+cos^(2)y=tan y(dy)/(dx)

Solve the following differential equations. (i) (dy)/(dx) =(1+y^(2))/(1+x^(2)) (ii) (dy)/(dx) = (sqrt(1-y^(2)))/(sqrt(1-x^(2))) (iii) (dy)/(dx) = 2y tan hx (iv) sqrt(1+x^(2))dx + sqrt(1+y^(2))dy = 0 (v) (dy)/(dy) = e^(x-y)+x^(2)e^(-y)

Express the following differential equations in the form (dx)/(dy) = F((x)/(y)) (i) (1+e^((x)/(y)))dx + e^((x)/(y))(1-(x)/(y))dy = 0 (ii) xdy - ydx + y e^(-(2x)/(y)) dy = 0

Solve the following differential equations (i) (1+y^(2))dx = (tan^(-1)y - x)dy (ii) (x+2y^(3))(dy)/(dx) = y (x-(1)/(y))(dy)/(dx) + y^(2) = 0 (iv) (dy)/(dx)(x^(2)y^(3)+xy) = 1

(y^(2))/(x^(2))(dx)/(dy)=(y+1)/(x+1)