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 March 20th, 2017, 09:01 AM #1 Newbie   Joined: Mar 2017 From: Thailand Posts: 3 Thanks: 0 Math Focus: Calculus Please enlighten me. Hello Redeemer, I got stuck at $\displaystyle (d^4y/dx^4)+3(d^2y/dx^2)^5+5y=0$. I'm not sure what method I should do. Thanks a lot for your help. TheNewDiff
 March 20th, 2017, 02:48 PM #2 Senior Member   Joined: Dec 2015 From: Earth Posts: 134 Thanks: 20 Try$\displaystyle \;$ $\displaystyle y=e^{kx}$ Thanks from topsquark
March 20th, 2017, 03:09 PM   #3
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 Originally Posted by TheNewDiff Hello Redeemer, I got stuck at $\displaystyle (d^4y/dx^4)+3(d^2y/dx^2)^5+5y=0$. I'm not sure what method I should do. Thanks a lot for your help. TheNewDiff
The best I've come up with is y(x) = 0. You'll probably find that the solution(s) can only be found by numerical methods.

-Dan

March 20th, 2017, 09:17 PM   #4
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 Originally Posted by topsquark The best I've come up with is y(x) = 0. You'll probably find that the solution(s) can only be found by numerical methods. -Dan
Hi Dan,

March 21st, 2017, 01:14 AM   #5
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 Originally Posted by TheNewDiff Hi Dan, Could you please show me the step,please?
There was no method. I simply noted that y = 0 is a solution. It's one of the first things I look for, especially when dealing with a non-linear equation.

-Dan

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