Fundamentals of calculus chapter 4: More on differential
equations
Differential
equations do not have immediate means to solve them. The reason is, because
differential equations are defined from differentiation and so is its integral,
it’s easier to find the differential equation rather than it’s solution. If our
motive is purely to find the solution of differential equations, then our best
approach will be to try and find how the expressions “behave” while trying to
differentiate them. Then we may back trace this sequence of steps to find the
original expression.