For the differential equation y"– 18y + 81y =z Part 1: Solve the homogeneous equation The differential operator for the homogeneous equation is (D-9)- 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) Therefore the particular solution must be made up of the functions 1 Substituting these into the differential equation, we find the particular solution is 2187 81 Part 3. Solve the non-homogeneous equation
For the differential equation y"– 18y + 81y =z Part 1: Solve the homogeneous equation The differential operator for the homogeneous equation is (D-9)- 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) Therefore the particular solution must be made up of the functions 1 Substituting these into the differential equation, we find the particular solution is 2187 81 Part 3. Solve the non-homogeneous equation
For the differential equation y"– 18y + 81y =z Part 1: Solve the homogeneous equation The differential operator for the homogeneous equation is (D-9)- 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) Therefore the particular solution must be made up of the functions 1 Substituting these into the differential equation, we find the particular solution is 2187 81 Part 3. Solve the non-homogeneous equation
Please give the correct functions annihilated by the differential operator
Transcribed Image Text:For the differential equation y" – 18y + 81y=z
Part 1: Solve the homogeneous equation
The differential operator for the homogeneous equation is (D-9)-
List the complementary functions (the functions that make
the
complementary solution)
A. When you get this answer
up
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)
xex
Therefore the particular solution must be made up of the functions 1
Substituting these into the differential equation, we find the particular solution is
2187
729
81
Part 3. Solve the non-homogeneous equation
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
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