Nero26
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Hi all,
I've to recover a function ∅ such that F=∇∅,F=3x^2y i +(x^3+2yz)j+y^2k.
So, ∂∅/∂x=3x^2y, Integrating w.r.t. x
∅=x^3y+f(y,z) ,Assuming there may be function of y and z.----------1
∴∂∅/∂y=x^3+f'(y,z)
now, ∂∅/∂y=(x^3+2yz)=x^3+f'(y,z)
∴f'(y,z)=2yz
To find ∅ from 1 I've to find f(y,z).
My problem is how to get f(y,z) from f'(y,z),should I integrate it w.r.t. y or z?
Thanks for your help.
I've to recover a function ∅ such that F=∇∅,F=3x^2y i +(x^3+2yz)j+y^2k.
So, ∂∅/∂x=3x^2y, Integrating w.r.t. x
∅=x^3y+f(y,z) ,Assuming there may be function of y and z.----------1
∴∂∅/∂y=x^3+f'(y,z)
now, ∂∅/∂y=(x^3+2yz)=x^3+f'(y,z)
∴f'(y,z)=2yz
To find ∅ from 1 I've to find f(y,z).
My problem is how to get f(y,z) from f'(y,z),should I integrate it w.r.t. y or z?
Thanks for your help.
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