## Key Points

2nd order differential equations contain second derivatives

Homogeneous equations are set equal to zero

2nd order homogeneous equations are solved using the characteristic equation

The characteristic equation can have 1 or 2 real roots, or 2 complex roots

Use the discriminant of the characteristic equation to determine the nature of the roots

The 2 roots in this case are used to form the final solution which has a particular fomat

You must learn the standard format as described in the video

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