%path = "maths/differential equation/separable" %kind = chindnum["texts"] %level = 12 Differential equations that can be brought to the form \(g(y)y'=f(x)\) or \(g(y)dy=f(x)dx\) allow to integrate both sides independently: \[\int g(y) dy = \int f(x) dx + c\] The implicit dependency thus found can be solved for one variable to get for example \(y=y(x)\).