Just found an answer and they have used as the particular integral.
I'm curious however, is this case because there is no , or is that just a coincidence?
Hi, I've got the following question I need a bit of help on.
It's the particular integral that I'm not too sure on.
Normally I would make , differentiate that, put it into the equation to get my particular integral.
Have tried this and it didn't work, I'm guessing because there is no function in the original equation, only derivatives of .
Due to this, would I set for example?
By taking , you get the solution , where is a constant. (Is that right? I hope I didn't mess up the calculations..)
However, , where are constants is also a valid solution, but it doesn't fit in the form that you obtained. So, using that method, you don't arrive to all the solutions. Just thought I'd point that out, I know that's not what you asked..
I find this differential equation problem interesting because I've never seen it before. I don't understand the above explanations of the problem. Can anyone please show me the steps of solving it?
By the way, this problem isn't in the domain of multivariable calculus, right?