Solving Higher Order Differential Equation

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rsvsk4live
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Hi Friends,

Could anyone answer my question please I am not good in math:

Why we do Higher order derivatives..? What its physical meaning ...?

we keep on finding the derivatives till we get function zero...why...?

Lets say my equation is Y= x3 + 3x2 + 3x + 2

Thanks

Rsvsk
 
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rsvsk4live said:
Why we do Higher order derivatives..? What its physical meaning ...?

we keep on finding the derivatives till we get function zero...why...?

Lets say my equation is Y= x3 + 3x2 + 3x + 2

Hi Rsvsk! Welcome to PF! :smile:

As you know, the first derivative is the rate (or speed), and the second derivative is the acceleration, so I assume you're wondering what the third derivative is?

Well, it isn't anything in particular …

in mechanics, for example, you wouldn't usually need third or higher derivatives.

But they can be useful in calculating volumes, expansions, approximations, and other things. :smile:
 


tiny-tim said:
Well, it isn't anything in particular …

in mechanics, for example, you wouldn't usually need third or higher derivatives.
Ha ha ha.
I guess you also do not need third or higher order tensors, differential equations, triple integrals or the calculus of variation. In carpentry you don't need nails.
Yoy can call x,x',x'',x''',x'''',x''''',x''''''
Position, Velocity, Acceleration ,Jerk/Jolt, Snap, Crackle, Pop

edited to say:At least you said usually, although I do not know what you meant by it.