For solving ` dy/dx = 4x +y +1`, suitable substitution is

Solve dy/dx = xy + x + y + 1

Solve : dy/dx + 1 = e^(x+y)

Solve dy/dx=1+x+y+xy .

If sqrt(1 - x^2) + sqrt(1 - y^2) = a (x - y) using inverse trignometric function by a suitable substitution , prove that (dy)/(dx) = (sqrt(1 - y^2))/(sqrt(1 - x^2))

Solve the following differential equation: (x+y)dy/dx=(x+y)^5 , by substituting x+y=u

solve (dy)/(dx)=(x+y)^(1/3)

Solve: (dy)/(dx) = 1-x+y-xy

Solve dy/dx=(e^x+1)y.