Separable first-order equation (If dy/dx factors as a function of x times a function of y, separate and)
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If dy/dx factors as a function of x times a function of y, separate and integrate both sides; add one constant of integration.
What each symbol means
| Symbol | What it stands for |
|---|---|
| g(x) | Function of x only. |
| h(y) | Function of y only (watch zeros where separation invalid). |
When to use this
h(y) ≠ 0 in the interval (or handle h(y)=0 as singular solutions separately).