Undetermined Coefficeints Method The table is in the picture Solution Steps: 1. Solve for Yc. 2. Set up Yp equation using the table a. Duplication of terms in Yp is eliminated by cancelling out duplicated terms. b. Check Yp against Yc. Duplication of terms is eliminated by multiplying the duplicated term in Yp by x raised to the lowest positive integer which eliminates duplication of terms. 3. Substitute Yp into original DE. Ø(D)Yp = f(x) 4. Solve arbitrary constants A,B,C.. by equating coefficients. 5. Substitute values of constants in Yp 6. Add Yp with Yc to get the General Solution: Y = Yc + Yp Solve the following differential equation: 1.(D2 - 1)y = 8xex
Undetermined Coefficeints Method The table is in the picture Solution Steps: 1. Solve for Yc. 2. Set up Yp equation using the table a. Duplication of terms in Yp is eliminated by cancelling out duplicated terms. b. Check Yp against Yc. Duplication of terms is eliminated by multiplying the duplicated term in Yp by x raised to the lowest positive integer which eliminates duplication of terms. 3. Substitute Yp into original DE. Ø(D)Yp = f(x) 4. Solve arbitrary constants A,B,C.. by equating coefficients. 5. Substitute values of constants in Yp 6. Add Yp with Yc to get the General Solution: Y = Yc + Yp Solve the following differential equation: 1.(D2 - 1)y = 8xex
Mathematics For Machine Technology
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ISBN:9781337798310
Author:Peterson, John.
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Chapter44: Solution Of Equations By The Subtraction, Addition, And Division Principles Of Equality
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Problem 108A: The feed of a drill is the depth of material that the drill penetrates in one revolution. The total...
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Undetermined Coefficeints Method
The table is in the picture
Solution Steps:
1. Solve for Yc.
2. Set up Yp equation using the table
a. Duplication of terms in Yp is eliminated by cancelling out duplicated terms.
b. Check Yp against Yc. Duplication of terms is eliminated by multiplying the duplicated term in Yp by x raised to the lowest positive integer which eliminates duplication of terms.
3. Substitute Yp into original DE.
Ø(D)Yp = f(x)
4. Solve arbitrary constants A,B,C.. by equating coefficients.
5. Substitute values of constants in Yp
6. Add Yp with Yc to get the General Solution: Y = Yc + Yp
Solve the following differential equation:
1.(D2 - 1)y = 8xex
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