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In this video tutorial, we focus on solving differential equations by separating variables. We start with the example problem d y d x = x^2 / y^2. By cross multiplying, we separate the variables to have y variables on one side and x variables on the other. Integrating both sides gives us y^3 / 3 = x^3 / 3 + c, where c is a constant. Multiplying by three simplifies the equation to y^3 = x^3 + 3c.
