How do you find and classify the critical points of this differential equation $dx/dt = 2x + 4y + 4$ ?

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Answer 1 · 2018-02-21T12:46:48

Critical Points occur when the first derivative vanishes, ie when $(dx)/(dt)=0$ which requires that

$2x+4y + 4 = 0$

ie along the curve $x+2y+2=0$

How do you find and classify the critical points of this differential equation dx/dt = 2x + 4y + 4dx/dt = 2x + 4y + 4?