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Extremum Function of a Functional
I figured it out, algebra errors.- Shantih
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- Forum: Calculus and Beyond Homework Help
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Extremum Function of a Functional
Homework Statement J(f)=\int 2xf−f′2+3f2f′dx f(0)=0,f(1)=−1. Homework Equations Ff-\frac{d}{dx}Ff'=0 The Attempt at a Solution Ff=2x+6f f'' Ff'=-2f' + 6f2 Plugging in, I get: 2x+6f f''- [itex]\frac{d}{dx} (-2f' + 6f2) 2x+6f f''-12f f'-2f''=0 Which doesn't look...- Shantih
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- Extremum Function Functional
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- Forum: Calculus and Beyond Homework Help