First Order ODE

**robotENGR** · February 7th 2011, 03:04 PM

I am trying to solve:

$(2*-x*\frac{dy}{dx}) +(\frac{dy}{dx})-{y(x)}-1=0$

and I seem to be missing a step: when I solve this i get y = 1 which doesn't seem right.

Thank you for your help

**pickslides** · February 7th 2011, 03:10 PM

This can be re-written as $\displaystyle \frac{dy}{dx}(1-2x)=y+1$ which is separable.

It becomes $\displaystyle \frac{dy}{y+1}= \frac{dx}{1-2x}$

**Prove It** · February 7th 2011, 03:40 PM

It's also first order linear if written as

$\displaystyle \frac{dy}{dx} + \frac{1}{2x - 1}\,y = -\frac{1}{2x-1}$

and so you can use the Integrating Factor Method...

Thread: First Order ODE

LinkBack

Thread Tools

Display

First Order ODE

Similar Math Help Forum Discussions

[SOLVED] Re-writing higher order spatial derivatives as lower order system

Order a = Order a inverse proof i have no idea how to start

Higher-order differential equations, the Laplace transform and exponential order

Formulating a second-order ordinary differential equation as a first-order system?

Second order linear equations, reduction of order

Search Tags