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Homework Statement
Solve the differential equation.
dy/dx = 4x + 4x/square root of (16-x^2)
Homework Equations
Substituting using U...
The Attempt at a Solution
I'm not sure if that's what I am supposed to do, but I tried using the U substitution...
4x + 4x/square root of (16-x^2)
u = 16 - x^2
du = -2x
-2du = 4x (I multiplied both sides by 2 and brought the negative over)
-2 (integration sign [the S]) du + du/square root of u
Take the anti-derivative...
-2 x (u)^(-1/2) + C (changed square root into a power)
-2 x (16-x^2) + C
Unfortunately, that is not the answer they give me. I'm kinda stuck.. am I going in the right direction?