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Unformatted text preview: (After Oct. 5) (10 pts.) Find the minimum value of x 2 y , where x and y are positive real numbers satisfying xy 2 = 5. (Warning: This question is misleadingly stated.) B.2) (After Oct. 8) (10 pts.) Show that the solutions f ( x, y ) to the PDE 2 f x 2 = y are exactly the functions of the form f ( x, y ) := y 2 x 2 + g ( y ) x + h ( y ) for some functions g ( y ) and h ( y ). Reminder: Please write Sources consulted: none at the top of your homework, or list your (animate and inanimate) sources. See the course information sheet for details. 1...
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This note was uploaded on 09/14/2011 for the course MATH 18.02 taught by Professor Auroux during the Fall '08 term at MIT.
- Fall '08
- Multivariable Calculus