Question

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

Answer 1

What are you doing to your differential equation?

Answer 2

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

Answer 3

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

Answer 4

+ C :)

Answer 5

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

Answer 6

@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

Answer 7

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