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Mechatronik Trinational, HS 2010 Mathematikubungen
 

Summary: Mechatronik Trinational, HS 2010
Mathematik¨ubungen
Differenzialgleichungen erster Ordnung
L¨osen Sie durch Trennung der Variablen:
1. y =
ex
y
[y2=2ex+C]
2. y - 2xy = 0 [Cex2
]
3. y sin 2x - 2y = 0 [Ctanx]
4. y - y tanh x = 0 [Ccoshx]
5. y + y cos x = cos x [1-Ce-sinx]
6. 2y y - y2 + 3 = 0 [y2=1
4(x+C)2-3]
7. y - y cos x = 0, y(/2) = e [esinx]
8. y sin x + 2y cos x = 0, y(/4) = 2 [sin-2
x]
9. y - y2 = 1, y(0) = 1 [tan(x+/4)]
10. x2 y = y2, y(5) = -10 [x/(1-0.3x)]

  

Source: Aste, Andreas - Institut für Physik, Universität Basel

 

Collections: Physics