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hey guys just need to know if my differential equation is right

the question is

b)$$\frac{dy}{dx} = x + 6y.$$

the question is :Find the general solutions to the following differential equations. Sketch at least 4 solution curves for each.

the answer that i have found is $$y=\sqrt{\frac{x^2}{6}}$$

please let me know if thats the right answer

thanks

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    It's not even differentiable at zero, how could you think this could be the right answer? Also if you want to check your answers you can use W|A: http://www.wolframalpha.com/input/?i=y%27+%3D+x+%2B+6y2012-02-05

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