d-dx-d-2-y-dx-2-d-2-dx-2-dy-dx-y-

Question Number 2070 by Rasheed Soomro last updated on 01/Nov/15

\frac{d}{d x} (\frac{d^{2} y}{{d x}^{2}}) = \frac{d^{2}}{{d x}^{2}} (\frac{d y}{d x})

y = ?

Commented by 123456 last updated on 01/Nov/15

f \in C^{3}

Answered by prakash jain last updated on 01/Nov/15

\frac{d}{d x} (\frac{d^{2} y}{{d x}^{2}}) = \frac{d^{2}}{{d x}^{2}} (\frac{d y}{d x})

LHS = RHS

In function which can be triple differentiated

will satisfy the equation .

Commented by Rasheed Soomro last updated on 01/Nov/15

W i l l e v e r y f u n c t i o n w h i c h c a n b e t r i p l e d i f f e r e n t i a t e d

s a t i s f y ?

Commented by prakash jain last updated on 01/Nov/15

y e s . LHS = \frac{d}{d x} (\frac{d}{d x} (\frac{d y}{d x})) = RHS

Commented by Rasheed Soomro last updated on 02/Nov/15

T h i s m e a n s i t i s l i k e a n i d e n t i t y . I t i s n o l o n g e r

c o n d i t i o n a l e q u a t i o n .