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(16 pts) Use either the method of undetermined coefficients or variation of parameters to find a particular solution yp of the equations:
I Discuss how the methods of undetermined coefficients and variation of parameter can be combined to solve the given differential equation. Carry out your ideas. (i) 3y"-6y'+30y-15 sin x + e* tan 3x Page 1 of 4
3. Using undetermined coefficients / annihilator or variation of parameter and Cauchy to solve the following: (40 pts) a) 3y"- y"+ 2y'-9y = 130e2+ - 18x² +5 (10 pts)
1. i) Find a particular solution by undetermined coefficients. ii) Find a particular solution by variation of parameters. iii) Are the answers the same? If not, what is the difference? (h) y" – y = 32.7231
Using the extended Debye–Huckel equation, plot a graph showing the variation of activity coefficients of Ca2+, Mg2+, and SO4 2? as a function of ionic strength between 0.0 and 0.1. What general trends, if any, can you infer from this plot? Using the extended Debyc-Huckel equation, plot a graph showing the variation of activity coefficiets of Ca2+, Mg2, and so 2 as a function of ionic strength between 0.0 and 0.1. What general trends, if any, can you infer from...
Solve y''-4y'=8e^t (a) By using undetermined coefficients - superposition method. (b) By using variation of parameters.
Please identify the a) calyx variation b) corolla variation c) stamen variation and d) pistil variation of the following flowers of: 1) Caesalpinia pulcherrima 2) Cosmos caudatus 3) Dahlia 4) Daucus carota 5) Gypsophila paniculata 6) Lilium orientalis 7) Mimosa pudica 8) Phaseolus vulgaris 9) Helianthus
how to interpret this coefficient table? Coefficients Unstandardized Standardized Coefficients Beta Coefficients Collinearity Statistics Model Std. Error Sig. Tolerance VIF 232757 49 000 -010992 Constant) NUMBER OF HOURS USUALLY WORK A WEEK RESPONDENT INCOME IN CONSTANT DOLLARS AGE OF RESPONDENT .175 3.748E-5 004 933 1.072 -2.266E-7 004136 892 909 1.100 047 004 361 11.652 000 974 1.027 a. Dependent Variable: NUMBER OF CHILDREN Coefficients Unstandardized Standardized Coefficients Beta Coefficients Collinearity Statistics Model Std. Error Sig. Tolerance VIF 232757 49 000...
Finding Measures of variation. In Exercises find the (a) explained variation (b) unexplained variation, (c) total variation, (d) coefficient of determination, and (e) standard error of estimate se. In each case, there is a significant linear correlation so that it is reasonable to use the regression equation when making predictions.Cholesterol and BMI Refer to the paired cholesterol/BMI data for women as listed in Data Set 1 in Appendix B. (Let x represent the cholesterol levels.)
LU 4 Variation of bending stresses in a beam have Parabolic variation O Linear variation O Cubical variation O None O