Question

The general solution of the differential equation $(x + y + 3)\frac{dy}{dx} = 1$ is:

• A. $x + y + 3 = Ce^y$
• B. $x + y + 4 = Ce^y$
• C. $x + y + 3 = Ce^{-y}$
• D. $x + y + 4 = Ce^{-y}$
• E. $x + y + 4e^y = C$

Hint:

When $\frac{dy}{dx}$ results in an "inseparable" mess in the denominator, always try flipping it to $\frac{dx}{dy}$. Many non-linear $y$-focused equations are actually simple linear $x$-focused equations.

Answer 1

The Correct Option is B