Differential Equations!

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14 Terms

1
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falling object DE

m(dv/dx)=mg-γv

2
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Ly’’+Ry’+Cy=E(t)

2nd order linear

3
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y’’+msiny=g(t)

2nd order nonlinear

4
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y’+p(t)y=g(t)

1st order linear

5
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integrating factor for 1st order linear

eSp(t)dt

6
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M(x)+N(y)y’=0

1st order separable

7
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mixing problem DE

y’=rincin-routcout

8
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compound interest problem DE

ds/dt=rs+k

9
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velocity problem DE

V(dx/dw)=(-gR2)/(R+x)2

10
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Logistic equation

y’=r(1-(y/K))y

11
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how to tell if a DE is exact

My=Nx

12
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exact DE integrating factor

u’=(My-Nx)u/N

13
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newtons cooling problems

dT/dt=-k(T-a)

14
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falling object problems

m(dv/dt)=mg-Yv