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

Similar Questions

Explore conceptually related problems

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

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

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

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

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

Solve the differential equation (x y^2+x)dx+(y x^2+y)dy=0

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

Solve the differential equation: y\ dx+(x-y^2)dy=0

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

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