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While an ODE of order m has m linearly independent solutions, a PDE has infinitely many.

While an ODE of order m has m linearly independent solutions, a PDE has infinitely many. Correct Answer True

A differential equation is an equation involving an unknown function y of one or more independent variables x, t, …… and its derivatives. These are divided into two types, ordinary or partial differential equations. An ordinary differential equation is a differential equation in which a dependent variable (say ‘y’) is a function of only one independent variable (say ‘x’). A partial differential equation is one in which a dependent variable depends on one or more independent variables.

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