prob2-5 - Problem 2-5 Solve by finding an integrating...

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Problem 2-5 Solve by finding an integrating factor: 1. 2 0 ydx y x dy 2. 2 2 0 xdx y x y dy 3. 3 2 2 2 3 0 x x y dy y x y dx 4. 3 2 0 x y dx xdy 5. The equation 2 0 x y dx f x dy is known to have an integrating factor I x x . Find all possibilities for f . 6. Using Eqs. (59) through (62), find integrating factors and solve: a. 1 0 xdy y xy dx b. / 2 / 2 0 y x y x xe x y dy ye dx 7. Show that the equation 0 p q x ydx xdy y ydx xdy has integrating factor of the form m n x y provided that 0   . 8. Show that the differential equation 2 2 3 0 y x dx x dy does not have an integrating
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