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DIFFERENTIAL EQUATIONS
A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and its derivative of various orders. Differential equations are mathematically studied from several different perspectives, mostly concerned with their solutions—the set of functions that satisfy the equation. 
A partial differential equation (PDE) is a differential equation in which the unknown function is a function of multiple independent variables and the equation involves its partial derivatives.
A differential equation of the form 
where a, b, c are constants and q(x) is a function of x is called a second order linear differential equation with constant coefficients.
A partial differential equation (PDE) is a differential equation in which the unknown function is a function of multiple independent variables and the equation involves its partial derivatives. 
where a, b, c are constants and q(x) is a function of x is called a second order linear differential equation with constant coefficients.
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