Category:First Order ODE/dy = k y dx

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This category contains pages concerning First Order ODE: $\dfrac {\d y} {\d x} = k y$:


Let $k \in \R$ be a real number.

The first order ODE:

$\dfrac {\d y} {\d x} = k y$

has the general solution:

$y = C e^{k x}$