Solving Higher-Order Linear Equations:
ME 391: MECHANICAL ENGINEERING ANALYSIS
SOLVING HIGHER ORDER LINEAR ODE’s:
HOMOGENEOUS LINEAR EQUATIONS WITH CONSTANT COEFFICIENTS
[pic]
Procedure for solving the second order homogeneous linear equation with constant coefficients:
1. Write the characteristic (auxiliary) equation
For the second order ODE ay’’+by’+cy=0, the char. equation is:
am2+bm+c=0
2. Solve the characteristic equation to find m1, m2
[pic]
3 cases:
Case 1: [pic]>0, Distinct Real Roots (m1, m2)
[pic]
In this case, the general solution is
[pic]
Case 2: [pic]=0, Repeated Real Roots (m1,m1)
[pic]
In this case, the general solution is
[pic]
Case 3: [pic] ................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related download
- second order linear differential equations
- mathematics 215 cal state la we are la
- solving higher order linear equations
- ode lecture notes section 3 5
- applied mathematics assignment four
- selected glossary of concepts and terms
- ode test 2 review
- illinois institute of technology
- microsoft word math 285 outline for
Related searches
- solving systems of linear equations calculator
- solving systems of linear equations by substitution
- solving linear equations test pdf
- solving linear equations pdf
- solving linear equations practice pdf
- solving linear equations video
- solving linear equations worksheets pdf
- solving advanced linear equations worksheets
- solving linear equations and inequalities
- solving systems of linear equations worksheet
- solving linear equations using matrices
- solving linear equations with 2 variables