I am solving the separable linear ODE y'(x)+y(x)'-1 = 0 and SageMath returns the solution:
(_C + e^x)*e^(-x)
However, when I work it by hand I get this answer with a minor difference:
y = -e^(-x)C +1
Where is the negative sign in the SageMath solution?
Here is my code:
y = function('y')(x)
x = var('x')
de = diff(y,x)+y-1 == 0
desolve(de,y)
