Classify the following second-order partial differential equations. 3 partial di
ID: 3273858 • Letter: C
Question
Classify the following second-order partial differential equations. 3 partial differential^2 phi/ partial differential x^2 + partial differential^2 phi/ partial differential x partial differential y + 2 partial differential^2 phi/ partial differential y^2 = 0 partial differential^2phi/ partial differential x^2 + partial differential phi/ partial differential z + partial differential^2 phi/ partial differential r^2 + partial differential phi/ r partial differential theta + K = 0 partial differential phi/ partial differential t + beta partial differential phi/ partial differential x + alpha partial differential^2 phi/ partial differential x^2 = 0 4 partial differential^2 phi/ partial differential x^2 + y^2 partial differential phi/ partial differential x + x partial differential phi/ partial differential x + partial differential^2 phi/ partial differential y^2 + 4 partial differential^2 phi/ partial differential x partial differential y - 4xy = 0 Determine the values of x and y to make the following partial differential equations elliptic, parabolic, or hyperbolic. x partial differential^2 phi/ partial differential x^2 + x partial differential^2 phi/ partial differential x partial differential y + y partial differential^2 phi/ partial differential y^2 = 0 x partial differential^2 phi/ partial differential x^2 + y partial differential^2 phi/ partial differential x partial differential y + K = 0Explanation / Answer
Sol:
used excel
Solutiona:
cooler:1.707
control:1.753
warmer:2.073
(rounded to 3 decimals)
If its 2 decimals kindly enter the below results
cooler:1.71
control:1.75
warmer:2.07
Solutionb:
cooler:0.399
control:0.531
warmer:0.788
SUMMARY Groups Count Sum Average Variance cooler 15 25.6 1.706667 0.159424 control 11 19.28 1.752727 0.282302 warmer 14 29.02 2.072857 0.620314