Geometric interpretation of differential equations via slope fields and the relationship between slope fields and solution curves for differential equations

Geometric interpretation of differential equations via slope fields and the relationship between slope fields and solution curves for differential equations

It may be hard or even impossible to find an explicit solution to for some differential equations. Fortunately, if the DE is 1st order we can graph the differential equation’s slope field and see the solution curves, even if we cannot write down their exact equation.