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Separable Differential Equations

An equation of the form dy/dx = g(x)h(y) is solved by algebraically separating variables into dy/h(y) = g(x)dx and integrating each side independently. Constant solutions where h(y) = 0 must be checked separately because dividing by h(y) discards them.

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An equation of the form dy/dx = g(x)h(y) is solved by algebraically separating variables into dy/h(y) = g(x)dx and integrating each side independently. Constant solutions where h(y) = 0 must be checked separately because dividing by h(y) discards them.

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