Part 1: Solve the homogeneous equation The differential operator for the homogeneous equation is (D-7) List the complementary functions (the functions that make up the complementary solution) 7x A.When you get this answer correct it will give you the format for the complementary solution that you must use below. Part 2: Find the particular solution To solve the non-homogeneous differential equation, we look for functions annihilated by the differential operator (a multiple of the operator given above) D (D-7)2 Therefore the particular solution must be made up of the functions r Substituting these into the differential equation, we find the particular solution is Part 3: Solve the non-homogeneous equation y/" - 14y+49y = x has general solution (remember to use the format I gave you in your correct answer to the complementary functions above) Now that we have the general solution solve the IVP y(0) = -5 / (0) = 8 9245 PM 4/16/2021

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.4: Solving Nonlinear Equations
Problem 17E: Van der Waals Equation In Exercise 18 at the end of Section 2.3, we discussed the ideal gas law,...
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Please answer all parts of the question correctly
Part 1: Solve the homogeneous equation
The differential operator for the homogeneous equation is (D-7)-
List the complementary functions (the functions that make up the complementary solution)
A. When you get this answer
correct it will give you the format for the complementary solution that you must use below.
Part 2: Find the particular solution
To solve the non-homogeneous differential equation, we look for functions annihilated by the differential operator (a multiple of the operator given
above) D (D-7)2
Therefore the particular solution must be made up of the functions
Substituting these into the differential equation, we find the particular solution is
Part 3: Solve the non-homogeneous equation
y' - 14y + 49y = x² has general solution (remember to use the format I gave you in your correct answer to the complementary functions above)
Now that we have the general solution solve the IVP
y(0) = -5
y (0) = 8
a
9:45 PM
4/16/2021
Transcribed Image Text:Part 1: Solve the homogeneous equation The differential operator for the homogeneous equation is (D-7)- List the complementary functions (the functions that make up the complementary solution) A. When you get this answer correct it will give you the format for the complementary solution that you must use below. Part 2: Find the particular solution To solve the non-homogeneous differential equation, we look for functions annihilated by the differential operator (a multiple of the operator given above) D (D-7)2 Therefore the particular solution must be made up of the functions Substituting these into the differential equation, we find the particular solution is Part 3: Solve the non-homogeneous equation y' - 14y + 49y = x² has general solution (remember to use the format I gave you in your correct answer to the complementary functions above) Now that we have the general solution solve the IVP y(0) = -5 y (0) = 8 a 9:45 PM 4/16/2021
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