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[MATHS IV] [ engineering mathematics ] [Partial Differential Equations] [Partial differentiation and formation of Partial Differential Equations has already been covered in Maths II syllabus. Present chapter is designed as per GGSIPU Applied Maths IV curriculum. ] 1 Partial Differential Equations Chapter 1 Introduction A differential equation which involves partial derivatives is called partial differential equation (PDE). The order of a PDE is the order of highest partial derivative in the equation and the degree of PDE is the degree of highest order partial derivative occurring in the equation. Thus order and degree of the PDE are respectively 2 and 3. If z is a function of two independent variables x and y , let us use the following notations for the partial derivatives of z : Linear Partial Differential Equations of 1st Order If in a 1st order PDE, both and occur in 1st degree only and are not multiplied together, then it is called a linear PDE of 1st order, an equation of the form are functions of is a linear PDE of 1st order.

[Engineering Mathematics] [Partial Differential Equations] [Partial Differentiation and formation of Partial Differential Equations has already been covered in Maths II syllabus. Present chapter is designed as per GGSIPU Applied Maths IV curriculum. ... of science and engineering. Method of separation of variables is the most important tool, we ...

  Engineering, Mathematics, Engineering mathematics, Differentiation