This equation is a first-order differential equation that can be tackled through the method of exact equations or by finding an integrating factor. To solve it, you can rearrange it into a more manageable form. First, separate the variables or look for a function and such that the differential is exact. Once you find a suitable form, integrating will lead you to the solution.

One common mistake when dealing with such equations is to forget to check if the equation is exact before proceeding with integration. Always verify if first, or else your solution might head in the wrong direction!