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Chapter 9 DIFFERENTIAL EQUATIONS 9.1 Overview (i) An equation involving derivative (derivatives) of the dependent variable with respect to independent variable (variables) is called a differential equation. (ii) A ...

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...Chapter differential equations overview i an equation involving derivative derivatives of the dependent variable with respect to independent variables is called a ii only one ordinary and more than partial iii order highest occurring in iv degree defined if it polynomial its v when power positive integer vi relation between involved which satisfy given solution contains as many arbitrary constants general free from particular vii form function we differentiate successively times number then eliminate viii representing family curves same present corresponding ix separable method used solve such can be separated completely e terms containingxshould remain withdxand containing y should dy mathematics x f said homogeneous n for some non zero constant xi expressed or dx g where are functions xii type make substitution vx vy xiii py q p ofx known first linear by c integrating factor pdx xiv another pdy solved examples short answer s example find aex b thus logy logx logc cx that yex value ex...

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Posted on: 25 Jan 2023 | 2 years ago
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