First-Order Ordinary Differential Equation
Separable variables
General solution
Homogeneous
General solution
For
,
Linear
General solution
Considering
,
Bernoulli equation
General solution
Considering
Riccati equation
If
is a singular solution and we consider
then
Exact differential equation
General solution
Integrating factor
If a given function
is an exact differential equation with respect to
is called an integrating factor.Differential equation of high exponential order
Consider the first-order factorization of
.
The general solution consists of
solutions corresponding to the general solutions of the factors.[0]Top