De 2

Front 1

HOMOGENIOUS EQUATIONS WITH CONSTANT COEFFICIENTS

Find General Solution

Back 1

1- Find Characteristic Equation
2- Find Roots
3- General Solution Equation

Front 2

HOMOGENIOUS EQUATIONS WITH CONSTANT COEFFICIENTS

Solve IVP's

Back 2

1- Find Characteristic Equation
2- Find Roots
3- General Solution Equation
4- Take Derivatives of General Solution
5- Solve for IVP's

Front 3

NONHOMOGENIOUS EQUATIONS & UNDETERMINED COEFFICIENTS

Find Particular Solution Yp

Back 3

1- Find Yp (Ax+B ... RHS of Equation)
2- Take Derivatives of Yp
3- Plug in Yp Derivatives in Original Eq.
4- Solve for Letters
5-Plug Letters Findings into Yp Eq.

Front 4

NONHOMOGENIOUS EQUATIONS & UNDETERMINED COEFFICIENTS

Solve IVP's

Back 4

1- Find Yp (Ax+B ... RHS of Equation)
2- Take Derivatives of Yp
3- Plug in Yp Derivatives in Original Eq.
4- Solve for Letters
5-Plug Letters Findings into Yp Eq.
6- Find Characteristic Eq and Roots
7- Find General Solution (Y=Yc+Yp)
8- Find Derivatives that Satisfy IVP's

Front 5

NONHOMOGENIOUS EQUATIONS & UNDETERMINED COEFFICIENTS

Method of Variation of Parameters to find Yp

Back 5

1- Find Characteristic Equation
2- Find Derivatives of Complimentary Function (Y1, Y'1, Y2, Y'2)
3- Find Wronskian
4- Find Particular Solution