5ª Lista de exercícios de E.D. EXATASl engebasico

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UNIP - EXERCÍCIOS DE EQUAÇÕES DIFERENCIAIS
ENGENHARIA turmas EB3/EB4 - PROF RICARDO VIDA
 
 ESSA LISTA REFERE-SE À AULA 5
5ª LISTA 
Resolver as Equações Diferenciais Exatas
1) 2xydx + ( 1 + x
) dy = 0
2 ) ( x + seny ) dx + ( x cos y – 2y ) dy = 0
3 ) ( 2x + y ) dx + ( 2y + x ) dy = 0
4 ) ( 2xy + y
) dx + ( x
 + 3y
x ) dy = 0
5 ) ( 2x – 3x
y ) dx + ( 1 + 2y - x
) dy = 0
6 ) ( e
 - y cos xy ) dx + ( 2xe
- x cos xy + 2y ) dy = 0
7 ) y’ = 
 
8 ) ( 2xy
 - 3 ) dx + ( 2x
 + 4 ) dy = 0
9 ) ( y ln y - e
) dx + ( 
 + x ln y ) dy = 0
10 ) ( 4 t
 - 15 t
 - y ) dt + ( t
+ 3y
 - t ) dy = 0
7 ) ( 1 + y
) + ( 1 + x
 ) 
 = 0
8 ) xdy – ydx = 0
9 ) 3ydx + ( xy + 5x ) dy = 0
10 ) cos x dx + 2y dy = 0
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