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Linear, first order 

Formula

(1) Equation

Formula

(2) Solution
Bernoulli Equation 

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(1) Equation

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(2) Solution

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(3) Variable

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(4) Case n=1
Exact Differencial 

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(1) Equation

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(2) Condition

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(3) Solution
Homogeneous Equation 

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(1) Equation

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(2) Solution

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(3) Variable

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(4) Special case
Riccati Equation 

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(1) Equation

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(2) Particular solution

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(3) Solution

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(4) Equation

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(5) Variable change

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(6) Linear eq. in v
Equation in xy 

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(1) Equation

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(2) Solution

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(3) Variable

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(4) Special case
Homogeneous Linear Equation, second Order 

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(1) Equation

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(2) Equation for Eigenvalues

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(3) Eigenvalues

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(4) Solution real distinct Eigenvalues

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(5) Solution real equal Eigenvalues

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(6) Solution complex Eigenvalues

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(7)

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(8)

Formula

(9)
Non-Homogeneous Linear Equation, second Order 

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(1) Equation

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(2) Equation for Eigenvalues

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(3) Eigenvalues

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(3) Solution real distinct Eigenvalues

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(4) Solution real equal Eigenvalues

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(5) Solution complex Eigenvalues

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(6)

Formula

(7)

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(8)
Euler or Cauchy Equation 

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(1) Equation

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(2) Variable

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(3) Transformation
Bessel Equation 

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(1) Equation

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(2) Solution
Transformed version of the Bessel Equation 

Formula

(1) Equation

Formula

(2) Solution
Legendre Equation 

Formula

(1) Equation

Formula

(2) Solution
Last Updated ( Monday, 20 July 2009 20:51 )
 
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