Second Order DE help Watch

robertbrooks
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#1
Report Thread starter 7 years ago
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Hi
I would like some help on the question below please

Ae^3x + Bxe^3x = 0 is my first thought and then evaluating and matching the differentiated terms of e^3x
I have hit a blank though and this is prior to the PI being introduced which has thrown me further.

Any help would be appreciated.
Thanks

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ghostwalker
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Report 7 years ago
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(Original post by robertbrooks)
Hi
I would like some help on the question below please

Ae^3x + Bxe^3x = 0 is my first thought and then evaluating and matching the differentiated terms of e^3x
I have hit a blank though and this is prior to the PI being introduced which has thrown me further.

Any help would be appreciated.
Thanks

Since you are told that y=e^{3x} satisfies that equation, just substitute in and solve, the answer drops out very quickly.
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robertbrooks
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Report Thread starter 7 years ago
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Thanks mate
I have had a gone since posting and realised I should have:
Differentiated once and then again and fed that in for each.
Appreciated that e^x can never = 0 so the other parts would and then solved

I assume thats the most efficient way to show it right?

Thanks
Rob
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ghostwalker
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Report 7 years ago
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(Original post by robertbrooks)
Thanks mate
I have had a gone since posting and realised I should have:
Differentiated once and then again and fed that in for each.
Appreciated that e^x can never = 0 so the other parts would and then solved

I assume thats the most efficient way to show it right?

Thanks
Rob
I reckon so.
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robertbrooks
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Report Thread starter 7 years ago
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Thanks for you help.
Rob
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