Open 1 x 2 1 y 2. The differential equation is not well defined in xy 11 as you have an expression of the form 00 for dydx. Add x to both sides. 19The equation x2 y2 1 describes a circle with radius 1 around the origin. Check also: answer and 1 x 2 1 y 2 Y 1 x 3 2 1 3 2.
But suppose you wouldnt know this already you can still try to write this equation in polar coordinates x rcosphi y rsinphi rcosphi2 rsinphi2 1 r2cosphi2 sinphi2 1 Due to the trigonometric identity cosphi2 sinphi2 1 this reduces to.
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32 The last equation makes these important points.
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