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Ãœber Sowiso
Kontakt
Freischalten 
English
Differential equations
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Kursinhalt
Differential equations
Introduction to Differential equations
THEORIE
T
1.
The notion of differential equation
ÃœBUNG
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2.
The notion of differential equation
6
THEORIE
T
3.
Notation for ODEs
ÃœBUNG
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4.
Notation for ODEs
4
THEORIE
T
5.
Order and degree of an ODE
ÃœBUNG
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6.
Order and degree of an ODE
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THEORIE
T
7.
Solutions of differential equations
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ÃœBUNG
Ã
8.
Solutions of differential equations
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THEORIE
T
9.
Linear ODEs
ÃœBUNG
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10.
Linear ODEs
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Direction field
THEORIE
T
1.
Direction fields
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2.
Direction fields
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THEORIE
T
3.
Euler's method
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4.
Euler's method
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THEORIE
T
5.
Autonomous ODEs
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6.
Autonomous ODEs
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THEORIE
T
7.
Existence and uniqueness of solutions of ODEs
ÃœBUNG
Ã
8.
Existence and uniqueness of solutions of ODEs
Kompletten Zugriff freischalten locked
THEORIE
T
9.
Solution strategy on the basis of the slope field
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ÃœBUNG
Ã
10.
Solution strategy on the basis of the slope field
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Separation of variables
THEORIE
T
1.
Differentials
ÃœBUNG
Ã
2.
Differentials
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THEORIE
T
3.
Differential forms and separated variables
ÃœBUNG
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4.
Differential forms and separated variables
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THEORIE
T
5.
Solving ODEs by separation of variables
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
6.
Solving ODEs by separation of variables
Kompletten Zugriff freischalten locked
Linear first-order differential equations
THEORIE
T
1.
Uniqueness of solutions of linear first-order ODEs
ÃœBUNG
Ã
2.
Uniqueness of solutions of linear first-order ODEs
Kompletten Zugriff freischalten locked
THEORIE
T
3.
Linear first-order ODE and integrating factor
ÃœBUNG
Ã
4.
Linear first-order ODE and integrating factor
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THEORIE
T
5.
Solving linear first-order ODEs
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
6.
Solving linear first-order ODEs
Kompletten Zugriff freischalten locked
Linear second-order differential equations
THEORIE
T
1.
Uniqueness of solutions of linear 2nd-order ODEs
ÃœBUNG
Ã
2.
Uniqueness of solutions of linear 2nd-order ODEs
Kompletten Zugriff freischalten locked
THEORIE
T
3.
Homogeneous linear 2nd-order ODEs with constant coefficients
ÃœBUNG
Ã
4.
Homogeneous linear 2nd-order ODEs with constant coefficients
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THEORIE
T
5.
Solving homogeneous linear ODEs with constant coefficients
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
6.
Solving homogeneous linear ODEs with constant coefficients
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THEORIE
T
7.
The Ansatz
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ÃœBUNG
Ã
8.
The Ansatz
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Solution methods for linear-second order ODEs
THEORIE
T
1.
The Wronskian of two differentiable functions
ÃœBUNG
Ã
2.
The Wronskian of two differentiable functions
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THEORIE
T
3.
Variation of constants
ÃœBUNG
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4.
Variation of constants
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THEORIE
T
5.
From one to two solutions
ÃœBUNG
Ã
6.
From one to two solutions
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THEORIE
T
7.
Solving linear second-order ODEs
Kompletten Zugriff freischalten locked
ÃœBUNG
Ã
8.
Solving linear second-order ODEs
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Systems of differential equations
THEORIE
T
1.
Systems of coupled linear first-order ODEs
ÃœBUNG
Ã
2.
Systems of coupled linear first-order ODEs
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End of Differential equations
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1.
Applications of ODEs
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THEORIE
T
2.
End of Differential equations
Differential equations and Laplace transforms
THEORIE
T
1.
The Laplace transform
ÃœBUNG
Ã
2.
The Laplace transform
6
THEORIE
T
3.
The inverse Laplace transform
ÃœBUNG
Ã
4.
The inverse Laplace transform
8
THEORIE
T
5.
Laplace transforms of differential equations
ÃœBUNG
Ã
6.
Laplace transforms of differential equations
Kompletten Zugriff freischalten locked
THEORIE
T
7.
Convolution
ÃœBUNG
Ã
8.
Convolution
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THEORIE
T
9.
Laplace transforms of Heaviside functions
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ÃœBUNG
Ã
10.
Laplace transforms of Heaviside functions
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THEORIE
T
11.
Laplace transforms of periodic functions
ÃœBUNG
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12.
Laplace transforms of periodic functions
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THEORIE
T
13.
Riemann-Stieltjes integration
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THEORIE
T
14.
Laplace transforms of delta functions
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ÃœBUNG
Ã
15.
Laplace transforms of delta functions
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THEORIE
T
16.
Transfer and response functions
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ÃœBUNG
Ã
17.
Transfer and response functions
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Kompletten Zugriff freischalten  unlock
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