Linear differential equations and some special quasi-linear differential equations which can be linearized are listed in the following table. Their solutions or simplifying methods are also presented.
Differential Equation |
General Solution/Simplifying Method |
Linear differential equation:
|
where is the integrating factor. |
Bernoulli's differential equation:
|
which is a linear differential equation. |
Ricatti's differential equation:
which is the Bernoulli's differential equation with n=2 and a non-homogeneous term . |
where is the particular solution. |
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