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| Definitions |
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| A differential equation is a relation between the independent, dependent variables and their differential coefficients. |
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| Example: |
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| The order of differential equation is defined to be the order of the highest order derivative of the dependent variable occurring in the differential equation. |
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| Example: |
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| The degree of a differential equation is the highest power of the highest order derivative after making the equation free from radicals and fractional indices as far as the derivatives are concerned. |
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| In other words, the degree of a differential equation whose terms are polynomial in the derivatives is the highest power (positive integral index) of the highest order derivative in it. |
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| Examples: |
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| (i) Order = 2 degree = 3 |
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| (ii) Order =1 degree = 2 |
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(iii) Order =1 degree = 2
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