Question: Hi, I need help with this question. 4. Show that the following differential equations admit the correspond- ing first integral K (x1, X2). To which

Hi, I need help with this question. 4. Show that the

Hi, I need help with this question.

4. Show that the following differential equations admit the correspond- ing first integral K (x1, X2). To which geometric objects are the orbits confined? (i) x1 = 21+22 2 2 = -221 - 2 K (2 1, 20 2 ) = 21+ (21+ 202) 2 (ii) x1 = 22 - 23 2 2 = -21 03 = 21 K (1, 2 2) = 21+ 23+ 23

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