Solve the differential equation `( x + y) dy + (x - y) dx = 0`; given that y = 1 when x = 1.

Solve the differential equation (2 + x) dy = (1 + y) dx

Solve the differential equation : (x + y) (dy)/(dx) = 1 .

Solve the following differential equations : (x+y)dy+(x-y)dx=0 , given that y=1 when x=1

Solve the differential equations: (x-y)dy+(x+y)dx=0

solve the differential equation (y+x)(dy)/(dx)=y-x

Solve the differential equation x(dy)/(dx)+y=1+x

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

Solve the differential equation (x^(2)-y)dy+(y^(2)+x^(2)y^(2))dx=0, given that y=1, when x=1

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

Solve the differential equation (dy)/(dx)=1-x+y-xy