Second Order Differential Equations

Tutoring on Second Order Differential Equations

Learning Objectives:

Understand and apply Second Order Differential

Math Tutoring on Second Order Differential Equations

A Second Order Ordinary Differential Equation has the form:

If the Second Order Differential Equation can be written in the form:

Then the Differential Equation is a Linear Second Order Differential Equation. If it does not fit in the above form it is Nonlinear.

If , the Linear Second Order DE is Homogeneous. If , it is Nonhomogeneous.

 

Solutions to Linear Second Order Homogeneous DEs using the Characteristic Equation

1.    If  are two distinct real roots then

2.    If are real and equal roots then

3.    If are two complex roots  then

 

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Hook Questions:

1.    Define Second Order Differential Equations.

2.    What is Characteristics Equations?

3.   What are the different Solutions to Linear Second Order Homogeneous DEs using the Characteristic Equation?

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