A Differential Equation is said to be linear if the dependent variable and its differential coefficient occur in it in the first degree only and are not.

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Presentation transcript:

A Differential Equation is said to be linear if the dependent variable and its differential coefficient occur in it in the first degree only and are not multiplied together.

The most general form of a linear differential equation of first order is P and Q are any functions of x  The Coefficient of is 1  The power of y is 1  The RHS is a function of x

 Write the Differential Equation in the form  Obtain P and Q which are functions of x  Find the integrating factor (I.F.) given by  The required solution is given by

The general solution is

SSOLUTION