Classify the following second-order partial differential equations. 3 partial di

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 = 0

Explanation / 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

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