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Differential Equations by E. Rukmangadachari

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2

Differential Equations of First Order and First Degree

2.1 FIRST ORDER AND FIRST DEGREE DIFFERENTIAL EQUATIONS

The simplest type of the ordinary differential equations is that of the first order and first degree and is of the form

 

image

 

Solving for image we can write Eq. (2.1) as

 

image

 

and if we write

 

image

 

then Eq. (2.2) can be put in the form

 

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