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A **first-order, variables-separable** differential equation $f(y)\,dy = g(x)\,dx$ has solution:
A$\int f(y)\,dy = \int g(x)\,dx + c$
B$\int f(y)\,dy = -\int g(x)\,dx$
C$f(y) = g(x) + c$
D$f(y) \cdot g(x) = c$
Answer & Solution
Correct answer: A. $\int f(y)\,dy = \int g(x)\,dx + c$
After separating variables, integrate both sides independently (and combine constants into one $c$). This is the simplest of all DE-solution methods.
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