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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.
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
to be continued
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