Types of Solutions in Partial Differential Equation | Study With Nitin

In Partial Differential Equation questions are solving to some important forms Lagrange's Linear Equation, Charpit's Method and etc. Here the concept of solutions are very vital to understand for solving the P.D Equation. Types of Solutions There are four types of solutions are listed below - Complete Solution Particular Solution Singular Solution General Solution Complete Solution When a partial differential equation f(x,y,z,p,q) = 0 ...(i) where, z is the function of independent variables x and y and f be the function of dependent variables. Here we obtain a relation g(x,t,z,a,b) = 0 there are many arbitary constants as a number of independent variables, then g(x,y,z,p,q) = 0 is called the complete solution or integral of eq( i ) for example, z = ax + by +f(a,b) is the complete solution of z = px +qy +f(p,q) Particular Solution First of all we have a differential equatio...