Compute y ' and y ' ' and then combine these derivatives with y as a linear second order differential equation that is free of the symbols c 1 and c 2 and has the form F(y, y ' y ' ') 0 The symbols c 1 and c 2 represent constants 1 y c 1 e x c 2 xe x 2 y c 1 e x cos x c 2 e x sin x ...

1 y c 1 e x c 2 xe x y c 1 e x c 2 xe x c 2 e x y c 1 e x c 2 xe x 2c 2 e x y y 2c 1 e x ...

Compute y' and y'' and then combine these derivatives with y as a linear second-order differential equation

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Compute y' and y'' and then combine these derivatives with y as a linear second-order differential equation that is free of the symbols c₁ and c₂ and has the form F(y, y' y'') = 0. The symbols c₁ and c₂ represent constants.

1. y = c₁e^x + c²xe^x

2. y = c₁e^x cos x + c₂e^x sin x

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A First Course in Differential Equations with Modeling Applications

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Compute y' and y'' and then combine these derivatives with y as a linear second-order differential equation

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A First Course in Differential Equations with Modeling Applications

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