Question

a.Find the general solution to the differential equation.

Answer 1

\[y'=(x^2+1)y\]

Answer 2

rewrite this as\[\frac{dy}{dx}=(x^2+1)y\]and separate the variables (get the x's and dx's on one side, and y's and dy's on the other) then integrate

Answer 3

oh okay cool thanks

Answer 4

I got \[dy/y=x^3/3+x\] then what...?

Answer 5

you forgot to integrate the left, and you forgot the constant +C from the indefinite integral (which is *crucial* in differential equations)

Answer 6

you can't integrate one side and not the other, just like you can't add a number to one side and not the other...