Integrating 3D function with time
$begingroup$
I have an unknown function $phi (x,y,z,t)$ and i want to try and compute $int_{-h}^{eta(x,y,t)} phi_t phi_{zz} dz$, is there a simple method to do this? or any method at all? Thank you :)
edit: what happens if we try the same integration with respect to $z$ for $phi_{tt}$ ?
calculus multivariable-calculus
edited Dec 11 '18 at 11:25
GNUSupporter 8964民主女神 地下教會
13.3k72549
asked Dec 11 '18 at 11:07
Jake Jake
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add a comment |
$begingroup$
I have an unknown function $phi (x,y,z,t)$ and i want to try and compute $int_{-h}^{eta(x,y,t)} phi_t phi_{zz} dz$, is there a simple method to do this? or any method at all? Thank you :)
edit: what happens if we try the same integration with respect to $z$ for $phi_{tt}$ ?
calculus multivariable-calculus
edited Dec 11 '18 at 11:25
GNUSupporter 8964民主女神 地下教會
13.3k72549
asked Dec 11 '18 at 11:07
Jake Jake
11
$endgroup$
add a comment |
$begingroup$
I have an unknown function $phi (x,y,z,t)$ and i want to try and compute $int_{-h}^{eta(x,y,t)} phi_t phi_{zz} dz$, is there a simple method to do this? or any method at all? Thank you :)
edit: what happens if we try the same integration with respect to $z$ for $phi_{tt}$ ?
calculus multivariable-calculus
edited Dec 11 '18 at 11:25
GNUSupporter 8964民主女神 地下教會
13.3k72549
asked Dec 11 '18 at 11:07
Jake Jake
11
$endgroup$
I have an unknown function $phi (x,y,z,t)$ and i want to try and compute $int_{-h}^{eta(x,y,t)} phi_t phi_{zz} dz$, is there a simple method to do this? or any method at all? Thank you :)
edit: what happens if we try the same integration with respect to $z$ for $phi_{tt}$ ?
calculus multivariable-calculus
calculus multivariable-calculus
edited Dec 11 '18 at 11:25
GNUSupporter 8964民主女神 地下教會
13.3k72549
asked Dec 11 '18 at 11:07
Jake Jake
11
edited Dec 11 '18 at 11:25
GNUSupporter 8964民主女神 地下教會
13.3k72549
asked Dec 11 '18 at 11:07
Jake Jake
11
edited Dec 11 '18 at 11:25
GNUSupporter 8964民主女神 地下教會
13.3k72549
edited Dec 11 '18 at 11:25
GNUSupporter 8964民主女神 地下教會
13.3k72549
edited Dec 11 '18 at 11:25
GNUSupporter 8964民主女神 地下教會
13.3k72549
13.3k72549
asked Dec 11 '18 at 11:07
Jake Jake
11
asked Dec 11 '18 at 11:07
Jake Jake
11
asked Dec 11 '18 at 11:07
Jake Jake
11
11
add a comment |
add a comment |
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