  Differential equations have void applications in several practical
situations, sciences, and non sciences as Euler Lagrange equation in classical
mechanics, Radioactive decay in nuclear physics, Navier Stokes equations in
fluid dynamics, Verhulst equation in biological population growth, Hodgkin
Huxley model in neural action potentials, etc. The cantilever bridge problem is
very important in Bridge Engineering and this can be modeled as a homogeneous
obstacle problem in Mathematics. Due to this and various other applications,
obstacle problems become an important part of our literature. A lot of work is
dedicated to the solution of the obstacle problems. However, obstacle problems
are not solved by the considered method in the literature we have visited. In
this work, we have investigated the finding of the exact solution to several
obstacle problems using the optimal homotopy asymptotic method (OHAM). The
graphical representation of results represents the symmetry among them.
