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Find the general solution of the differential equation (x + y + 1) dy = dx.
- x + y + 2 = C e^y
- x + y + 4 = C log y
- log(x + y + 2) = C y
- log(x + y + 2) = C + y
Correct answer: x + y + 2 = C e^y
Solution
Treating x as the function of y gives dx/dy - x = y + 1, whose solution rearranges to x + y + 2 = C e^y.
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