Complete Integral Of Partial Differential Equations
Complete Solution Or Complete Integral Of Partial Differential Equations : Definition : A solution of partial differential equation is said to be a complete solution or complete integral if it contains as many arbitrary constants as there are independent variables . Definition Of General Solution Or Integral : A general solution or integral of a partial differential equation is a relation involving arbitrary functions which provides a solution to that equation . Linear Partial Differential Equation Of The First Order : A partial differential equation of first order is said to be linear if it is of the first degree in P and Q otherwise it is non linear . Example : (i) Linear Partial Differential Equation : x²p + y²q = zq (ii) Non _ Linear Partial Differential Equation : xpq + yq² = 1 Rule For The