Saturday

April 19, 2014

April 19, 2014

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

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 12:27amNot 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 12:43amokay thank you!

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

**Related Questions**

calculus - Can you give me a good website on the topic, slope fields and ...

math (differential equation) - show that y sub n=cos(ncos^-1(x)) satisfies the ...

University, Engineering Math - solve the ffg. differential equations: 1. x^3 +(y...

Calculus - How do you us implicit differentiation to solve x( y + 2 )^5 = 8 x( y...

math-differential equations - hi i need to know how to do this one thanks Find ...

Calculus - Solve the differential equation dy/dx = -xe^y and determine the ...

Math - For the harmonic potential V(x,y) = x^2 + y^2 a) Find the total ...

Calculus - I am unsure of how to take the derivative of this equation. It may be...

Mathematics - Solve the following differential equation, i.e. solve for y: dy/dx...

Math - Hi. please help me solve the ffg. differential equation: D^2y=3sinx-4y ...