The function u=e^x sinx ; v=e^x cos x sa...

The function `u=e^x sinx ; v=e^x cos x` satisfy the equation `v(d u)/(dx)-u(d v)/(dx)=u^2+v^2` b. `(d^2u)/(dx^2)=2v` c. `(d^2)/(dx^2)=-2u` d. `(d u)/(dx)+(d v)/(dx)=2v`

A

`v(du)/(dx)-u(dv)/(dx)=u^(2)+v^(2)`

B

`v(d^(2)u)/(dx^(2))=2v`

C

`(d^(2)v)/(dx^(2))=-2u`

D

All of these

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The correct Answer is:

D

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