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A differential equation that contains unknown variable functions and their partial derivatives is

  • A.ordinary differential equation
  • B.partial differential equation
  • C.linear differential equation
  • D.non linear differential equation

Answer: B

A partial differential equation involves partial derivatives with respect to two or more independent variables.

\[ \frac{\partial u}{\partial t} = c^{2}\frac{\partial^{2} u}{\partial x^{2}} \]

An ordinary differential equation has just one independent variable and so no partial derivatives at all.

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