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Differential EquationsEasyNonlinear Systems & Linearization

Nonlinear Systems & Linearization · Easy problem

For which constant kk is H(x,y)=x2+kxy+y2H(x, y) = x^2 + kxy + y^2 constant along every solution of x′=x+2y,  y′=−2x−yx' = x + 2y,\; y' = -2x - y?