Posted by **Jen** on Wednesday, November 6, 2013 at 12:19am.

So I need to solve this differential equation

dy/dx = 1/(x+2)

so i solved it like this

dy = 1/(x+2)dx

then i took the integral of both sides

y= ⌠1/(x+2)dx

⌡

then performed a u sub

u = x+2

du = 1dx

y = ⌠du/u

⌡

y = ln abs(u)+c

y = ln abs(x+2)+c

but the sanswer is supposed to be

y = ln abs ((x+2)/2) + c

Where did I mess up? and where did the 2 in the denominatior of the (x+2) come from?

- math -
**Steve**, Wednesday, November 6, 2013 at 12:27am
Not sure where the 2 came from, but since

ln(u/2) = ln(u) - ln(2)

just fold the ln(2) into the C.

- math -
**Jen**, Wednesday, November 6, 2013 at 12:43am
okay thank you!

- math -
**amar**, Wednesday, November 6, 2013 at 1:20am
i dont know answer.i am tring to find answer

## Answer This Question

## Related Questions

- Calc - Give a 4-term left Riemann sum approximation for the integral below. 16...
- math - How do I find the derivative of ⌠lnx ⌡π cos(e^(t))dt The...
- Calculus - 3 ⌠ 2⌡ (2x^2+5) / x^2 dx =? I got 1.66 but it was wrong.
- math - how do you write an equation and state what the variable n represnts. 54...
- Algebra - Solve each literal equations for the indicated variable D = C - s/n ( ...
- Math - I need to solve this set of differential equations {y'+(t/2)1, y(0)=1} ...
- MATH PLEASE CHECK IT!!2 - m-2/m-5*m+5/m-2=-1 If your problem is this: (m - 2)/(m...
- Calculus - dy/dx = 4ye^(5x) a) Separate the differential equation, then ...
- math - 2x+4(1-x)=11+5x 2x+4-4x=11+5x 6x+4=11+5x 6x=7+5x x=7 i think this is it x...
- algebra - I need a step by step explanation on how to add these two equations 2x...

More Related Questions