Nonlinear system: Difference between revisions

Revision as of 19:35, 11 March 2023

Revision as of 09:29, 15 March 2023

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:<math>\frac{d u}{d x} = -u^2</math>

has <math>u=\frac{1}{x+C}</math> as a general solution (and also <math>u = 0</math> as a particulartrivial solution, corresponding to the limit of the general solution when ''C'' tends to infinity). The equation is nonlinear because it may be written as

:<math>\frac{du}{d x} + u^2=0</math>