Q7 - Quiz 7 Solution 1. Solve each differential equation....

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Quiz 7 Solution 1. Solve each differential equation. Write your solution y explicitly as a function of x . (a) 2 1 ;( 1 ) dy y y dx x + == 1 Separation of variables leads to 2 2 1 1 1 tan ln dy dx yx dy dx y x y xC = + = + =+ ∫∫ Requiring leads to (1) 1 y = 4 C π = , so the equation becomes 1 tan ln 4 . Solving for y yields tan ln 4 ⎛⎞ ⎜⎟ ⎝⎠ . (b) 2 x dy x ye dx += The linear form of this equation is
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This note was uploaded on 05/12/2008 for the course MATH 133 taught by Professor Wei during the Spring '07 term at Michigan State University.

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