Hello hello! I'm having trouble with more homework questions. This time, it's a DE that needs an IF to make it exact. Here it is $\displaystyle \frac{x}{2} dt + (t + t^{\frac{1}{2}}sinx)dx = 0$ Anyone able to help?
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Originally Posted by exphate Hello hello! I'm having trouble with more homework questions. This time, it's a DE that needs an IF to make it exact. Here it is $\displaystyle \frac{x}{2} dt + (t + t^{\frac{1}{2}}sinx)dx = 0$ Anyone able to help? The integrating factor is $\displaystyle \mu = \frac{1}{\sqrt{t}}$, although, if you write your ODE as $\displaystyle \frac{dt}{dx} + \frac{2t}{x} = - \frac{2 \sqrt{t} \sin x}{x}$ the ODE is Bernoulli.
Last edited by Jester; Aug 29th 2009 at 06:26 AM. Reason: additional comment
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