Question

dy/dx = x+1 / y separable equation

Answer 1

\[\frac{dy}{dx} = \frac{x+1}{y}\]

Answer 2

\[y dy = (x+1) dx\]

Answer 3

\[\frac{1}{2} y^2 = \frac{1}{2}x^2+x+C\]

Answer 4

That is correct!

Answer 5

\[y^2 = x^2+2x+2C\]

Answer 6

correct...

Answer 7

\[y = \sqrt{x^2+2x+2c}\] with the plus minus stuff can't do it in latex

Answer 8

C is as good an arbitrary constant as 2C

Answer 9

`\(\pm\)`
\(\pm\)