February 27, 2015

Homework Help: math

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?

Answer this Question

First Name:
School Subject:

Related Questions

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...
differential equations - the directions are to determine whether or not the ...
maths - i have to make y the subject of this equation: 4t + 7y - 9 = 0 wod it be...
math - Solve each formula for n. 2n = 4xp-6 3m-n=4s r/n+2=p t=100(n+3) pv/nR=T ...