MathCastle
Differential EquationsEasyNonlinear Systems & Linearization

Nonlinear Systems & Linearization · Easy problem

The system x′=sin⁡x+2y,  y′=2ln⁡(1+x)+yx' = \sin x + 2y,\; y' = 2\ln(1 + x) + y has an equilibrium at the origin. The linearization there has one negative eigenvalue. Find it.