Separable DE

Jeann25

How would I start this one? I tried dividing by y, but that does not work

y'=xy/(1+x²)

arildno

Why doesn't that work?

d_leet

Quote by Jeann25

How would I start this one? I tried dividing by y, but that does not work

y'=xy/(1+x²)

Yeah why does dividing by y not work?

Jeann25

Here's what I did:

1/y y' = x/(1+x²)
ln y = 1/2 ln (1+x²)+c
y = ce^(1/2 ln(1+x²))

Answer's supposed to be: c*sqrt(1+x²)

d_leet

Quote by Jeann25

Here's what I did:

1/y y' = x/(1+x²)
ln y = 1/2 ln (1+x²)+c
y = ce^(1/2 ln(1+x²))

Answer's supposed to be: c*sqrt(1+x²)

Yeah, ok and how is that different from what you had? Just simplify your expression with the properties of logs.

Jeann25

Nevermind. I get it now. Thank you :)

Similar Threads for: Separable DE
Thread	Forum	Replies
is this ODE separable?	Differential Equations	6
A non-separable set	Calculus & Beyond Homework	3
Separable DE	Calculus & Beyond Homework	5
separable eqn	Calculus & Beyond Homework	3
Separable ODE	Introductory Physics Homework	6

Jeann25	Separable DE Tweet How would I start this one? I tried dividing by y, but that does not work y'=xy/(1+x²)

arildno Recognitions: Gold Member Homework Help Science Advisor	Why doesn't that work?

Jeann25	Separable DE Here's what I did: 1/y y' = x/(1+x²) ln y = 1/2 ln (1+x²)+c y = ce^(1/2 ln(1+x²)) Answer's supposed to be: c*sqrt(1+x²)