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**Unformatted text preview: **shows us that the independent variable is t and the dependent variable is p . This equation is nonlinear since in the term kp ( P − p ) = kP p − kp 2 the dependent variable p is squared (compare with equation (7) on page 5 of the text). 7. This equation is an ordinary ±rst order diFerential equation with independent variable x and dependent variable y . It is nonlinear because it contains the square of dy/dx . 9. This equation contains only ordinary derivative of y with respect to x . Hence, it is an ordi-nary diFerential equation of the second order (the highest order derivative is d 2 y/dx 2 ) with independent variable x and dependent variable y . This equation is of the form (7) on page 5 of the text and, therefore, is linear. 1...

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