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First Order
Ordinary Differential Equation Notes
by 0x0015
Date:
last updated 2024-01-12
First Order
Definition:
Linear First Order
Definition:
Solving first order linear D.E.s
Theorem:
Substitution
Special cases of substitution
homogenious equation:
Bernoulli euquation:
Exact equation
Autonomous equation
Seperable equation
Second Order
Second Order Constant Coefficient Homogeneous
Theorem (Super Position):
Second Order Non-Homogeneous
Undetermined Coefficients
Variation of Parameters
Definition:
.
.
th Order
th Order Constant Coefficient Homogeneuous
.
Systems of Differential Equations
First Order
Definition:
Theorem:
Eigenvalue Method for Homogeneous Systems
Converting to and from systems
Example 4.1.2.1:
.
Example 4.1.2.2:
Matrix Exponents
.
Note 4.1.3.1:
Example 4.1.3.2
Note 4.1.3.3:
.
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th Order