posted by Anonymous .
find the general solution to the differential equation.
The equation is separable, meaning that we can put x and y on each side of the equal sign.
dy = (sec(x)tan(x) - e^x)dx
Integrate both sides:
∫dy = ∫(sec(x)tan(x) - e^x)dx
y = sec(x)-e^x + C
where C is an integration constant.
differentiate the above solution to confirm that the solution is correct.