Question

the general solution of the differential equations ydy+√(1+y²) dx=0 represents a family of?​

Answer 1

Answer:

$ydy + \sqrt{1 + {y}^{2} } dx = 0 \\ \\ \frac{ydy}{ \sqrt{1 + {y}^{2} } } = - dx \\ \\ integration \: \: both \: \: side = > \\ \\ \sqrt{1 + {y}^{2} } = - x + c$