Section 16.1

Separable variables

viz

\frac{dy}{dx}=g(x)h(y),

then, where the division is valid,

viz

\frac{dy}{h(y)}=g(x)\,dx

and both sides are integrated. Constant solutions lost when dividing by $h(y)$ must be checked separately.

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Section 16.1

viz

\frac{dy}{dx}=g(x)h(y),

then, where the division is valid,

viz

\frac{dy}{h(y)}=g(x)\,dx

and both sides are integrated. Constant solutions lost when dividing by $h(y)$ must be checked separately.