1. The problem statement, all variables and given/known data The problem is given as follows: Solve dy/dt + y = 0.5, y(t=0)=1 2. Relevant equations 3. The attempt at a solution I separate the y terms from the t terms, which gives me dy(-y+0.5)=dt I integrate both sides to get -ln(-y+0.5)=t+C C is the constant, I combine the constants from both sides to one value. Multiplying both sides by the negative, ln(-y+0.5)=-t-C Now i e both sides -y+0.5=e^(-t-C) Therefore I can simplify to y=e^(-t-C)+0.5, which is my solution Since y(0)=1, e^(-C) = 0.5 I don't know what exactly I am supposed to do with that... Was my answer correct? Please advise, Thank you!