![image0.png](https://www.dummies.com/wp-content/uploads/397870.image0.png)
You can write its general solution as
![image1.png](https://www.dummies.com/wp-content/uploads/397871.image1.png)
where Ay and Az are constants.
Because
![image2.png](https://www.dummies.com/wp-content/uploads/397872.image2.png)
you get this for
![image3.png](https://www.dummies.com/wp-content/uploads/397873.image3.png)
where A= Ax Ay Az.
The part in the parentheses in the exponent is the dot product of the vectors
![image4.png](https://www.dummies.com/wp-content/uploads/397874.image4.png)
That is, if the vector a = (ax, ay, az) in terms of components and the vector b = (bx, by, bz), then the dot product of a and b is
![image5.png](https://www.dummies.com/wp-content/uploads/397875.image5.png)
So here’s how you can rewrite the
![image6.png](https://www.dummies.com/wp-content/uploads/397876.image6.png)