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Line 20: :<math>\frac{dy}{y} = -f(t)\, dt</math> Since the [[separation of variables]] in this case involves dividing by ''y'', we must check if the constant function ''y=0'' is a solution of the original equation. Trivially, if ''y=0'' then ''y'=0'', so ''y=0'' is actually a solution of the original equation. We note that ''y=0'' is not allowed in the transformed equation. We solve the transformed equation with the variables already separated by [[Integral Calculus\|Integrating]],

Examples of differential equations: Difference between revisions