Question: Find an explicit solution y(x). Write the equation in the form y'= F(y/x) if necessary, and use the substitution u = (y = xu).
Find an explicit solution y(x). Write the equation in the form y'= F(y/x) if necessary, and use the substitution u = (y = xu). 9. 10. 11. 12. 13. dy Y dx X X X = dy dx dy dx dy dx xy = = = + sec dy dx 2 y Xx (), y(1) = 0. x2 =y+xy, 3 y In (), y(2) = 6. y(1) = 100. y(1)=1. = = y x, y(1) = 2. 14. 15. 16. 17. dy dx x. x = = x + xy + y, y(1) = 3. dy dx = dy dx dy dx x xy+y, y(1) = 2. = - :y 2xy, y(1) = 1. = X Y x + y 9 y(-1) = 3.
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