.Sam.
  • .Sam.
Determine whether the following functions are solutions of Laplace’s equation z = e^x cos y
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
.Sam.
  • .Sam.
\[\frac{∂^{2}z}{∂x^{2}}+\frac{∂^{2}z}{∂y^{2}}=0\]
.Sam.
  • .Sam.
lol, you cant find "∂" here, try google
.Sam.
  • .Sam.
I think i've found it myself, \[\frac{∂z}{∂x}=e^{x} \cos~y,~~ \frac{∂^{2}z}{∂x^{2}}=e^{x} \cos~y\] \[\frac{∂z}{∂y}=-e^{x} \sin~y,~~ \frac{∂^{2}z}{∂y^{2}}=-e^{x} \cos~y\] -------------------------------------------------------------------- Then, \[\frac{∂^{2}z}{∂x^{2}}+\frac{∂^{2}z}{∂y^{2}}=0\] :D

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experimentX
  • experimentX
well, it satisfies the equation ... but, you know the function before hand ... and thats not the general clase. first you have differential equation and then you find the solution. well, anyway good luck

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