Are differential equations hard?

The difficulty of differential equations depends on the particular problem. Since a differential equation can be any equation which contain derivatives, either ordinary or partial, the difficulty in solving an equation depends on the particular equation or type of equation.

An ordinary differential equation, abbreviated by ode, is much easier to solve than a partial differential equation. Among odes, the linear differential equation is the simplest type to solve. A linear differential equation is any differential equation that can be written in the form of a sum of a series of constant coefficients multiplied by derivatives of a function. The function is first order. For instance, the differential equation dy/dx - 2x - 1 = 0 is a linear differential equation. Solving this equation requires moving 2x + 1 to the other side and integrating both sides with respect to x to yield y = x^2 + x + C where C is a constant.