Question
Asked Apr 7, 2019
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Show that the following equations either are exact or can be made exact, and
solve them:
2,,2
(b) 2xy' 3x y 0;
(c) (cos2x +y sin 2x)y'+y0
sin 2x) v'
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Show that the following equations either are exact or can be made exact, and solve them: 2,,2 (b) 2xy' 3x y 0; (c) (cos2x +y sin 2x)y'+y0 sin 2x) v'

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Expert Answer

Step 1

To modify (if necessary) the given equations into exact form and thus solve the equation

Step 2

A differential equation is called exact if it can be written in the form d(f(x,y)) =0 , in which case it can be integrated as f(x,y)=C (so y can be solved at least as an implicit function x). 

Step 3

A general differential equation might not be presented in exact form; but at times, by suitable manipulation , one could bring it to an exact fo...

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Advanced Math