numerically solve quadratic air drag in xy-plane

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I am trying to find a reference on solving for the position of a point mass as a function time, subject to air drag( quadratic term only) in both the x and y directions. The equations that describe the motion are the following:

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I know that this system of equations must be solved numerically, but I do not have the experience. I would like to solve this numerically in Java. Can someone reference me to a method of solving such a system?

Thank you.