- #1

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"A differential equation contains both the function and the derivative of the function"

and at the same time claims that y'=3x

^{2}is a differential equation.

How can this be? The original function isnt part of the equation in this case?

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- Thread starter johann1301
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- #1

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"A differential equation contains both the function and the derivative of the function"

and at the same time claims that y'=3x

How can this be? The original function isnt part of the equation in this case?

- #2

Simon Bridge

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xy'=3y

But I think you need to take the text book a little less seriously.

What they mean is that if g(x)=f(x,y,y',y''...) then g is a DE.

As you learn more the definition will get expanded to include more cases.

- #3

HallsofIvy

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- #4

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Thanks!

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