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3 Cards in this Set
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- Back
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What 3 criteria define the linearity of a differential equation? |
1. the dependent variable and its derivative occur to the first degree only. 2. no products of y and/or any of its derivatives are present. 3. no transcendental functions of y and/or its derivatives occur. |
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Give an example of both linear and a nonlinear differential equation. |
y'' + 5y' + 6y = 0 y'''' + (x^2)y''' + y' = xe^x y'' + 5y' + 6y^2 = 0 y'' + 5y * y' + 6y = 0 |
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to be continued...
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to be continued |
