Question

(1+x)dy/dx-xy=1-x solve it

Answer 1

Final result :
y = x/(x+1) + Ce^x/ (x+1) where C is arbitrary constant and x is not equal to -1.

A first order linear equations is of the form
y' + p(x)y = r(x) where p(x) and r(x) are continous functions .




Steps:
1) Integrating factor of first Order linear equation is ( e power (integ) P(x)dx)

2) Multiply Integrating factor in both sides of given equation .

Then , Integrate in both sides .

For calculation process :
See attachment

Hope, you understand my answer .