Page:Calculus Made Easy.pdf/252

 called its “solution”; and it is quite astonishing how in many cases the solution looks as if it had no relation to the differential equation of which it is the integrated form. The solution often seems as different from the original expression as a butterfly does from the caterpillar that it was. Who would have supposed that such an innocent thing as

could blossom out into

yet the latter is the solution of the former.

As a last example, let us work out the above together.

By partial fractions,