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  1. mathematics
  2. advance math
  3. a.) show that the de is exact and find a general s

a.) Show that the DE is exact and find a general solution 2y - y^2sec^2(xy^2)+[2x-2xysec^2(xy^2)]y' =...

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Advance Math

a.) Show that the DE is exact and find a general solution

2y - y^2sec^2(xy^2)+[2x-2xysec^2(xy^2)]y' = 0

b.) Verify that the equation is not exact. Multiply byintegrating factor u(x, y) = x and show that resulting equation isexact, then find a general solution.

(3xy+y^2) + (x^2 + xy)dy/dx = 0

c.) Verify that the equation is not exact. Multiply byintegrating factor u(x, y) = xy and show that resulting equation isexact, then find a general solution.

(-xysinx + 2y cosx) + 2xcosx(dy/dx) = 0

Answer & Explanation Solved by verified expert
4.4 Ratings (675 Votes)
Here we use simple formula    See Answer
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