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Partial differential equation formed from the equation z=(x+a)(y+b) is: (i) z=p+q  ...

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farahyasmin | Student, Undergraduate | (Level 1) Honors

Posted October 5, 2012 at 7:34 AM via web

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Partial differential equation formed from the equation z=(x+a)(y+b) is:

(i) z=p+q    (ii) z=p+q+k    (iii) z=pq    (iv) None of these

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pramodpandey | College Teacher | (Level 3) Valedictorian

Posted May 25, 2013 at 6:45 AM (Answer #1)

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z=(x+a)(y+b)

differentiate z w.r.t ,x and y partially

`(delz)/(delx)=y+b`

`(delz)/(dely)=x+a`

`But`

`(delz)/(delx)=p`

`(delz)/(dely)=q`

`pq=(x+a)(y+b)=z`

Thus part (iii) is correct.

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