The ordinary differential equations (ODE ’s in short), or simply differential equations (DE ), are the equations of the type $$\displaystyle{F\left (x,y,y^{{\prime}},y^{{\prime\prime}},\ldots,y^{(n)}\right ) = 0,}$$ relating the variable x, a function y(x) of x, and its derivatives \(\frac{\text{d}y} {\text{d}x} = y^{{\prime}}\), \(\frac{\text{d}^{2}y} {\text{d}x^{2}} = y^{{\prime\prime}}\), etc. with each other. The fundamental task is to find a function y(x) that satisfies this equation. It may be that not one, but many functions form different solutions.