hello i need help with this Dif eq
1) dy/dx= x2 + y-1

Question

hello i need help with this Dif eq
1)	dy/dx= x2 + y-1

precal · Answer

What are you doing to your differential equation?

phi · Answer

Are you studying equations of the form:
dy/dx + P(x) y = Q(x)

stormfire1 · Answer

$$dy/dx = x^2 + y -1$$$$dy/dx-y= x^2-1$$$$dy-y=(x^2-1)dx$$Integrate both sides to get:$$-y^2/2=(x^3-3x)/3$$

stormfire1 · Answer

+ C :)

phi · Answer

@storm clearing the  dx will give you a -y dx on the LHS

stormfire1 · Answer

@phi: Good catch...I should have typed in dy(-y) on the LHS...or put -ydy (simpler).  

For the original poster's info, the final answer is still correct

phi · Answer

No, your equation becomes $ dy - y dx = (x^{2}-1) dx $ and you can not separate the x and y. See http://www.wolframalpha.com/input/?i=solve+dy%2Fdx+%3D+x%5E2+%2B+y+-1