Courses
About SOWISO
Contact
Unlock 
Nederlands
Courses
About SOWISO
Contact
Unlock 
Nederlands
sowiso logo Differential equations

Differential equations for college and university students. Contains direction fields, separation of variables, linear 1st & 2nd order ODEs, LaPlace transforms, and more.

Booklet (PDF)
Available languages: 
nlen
Course content
Differential equations
Introduction to Differential equations
THEORY
T
1.
The notion of differential equation
PRACTICE
P
2.
The notion of differential equation
6
THEORY
T
3.
Notation for ODEs
PRACTICE
P
4.
Notation for ODEs
4
THEORY
T
5.
Order and degree of an ODE
PRACTICE
P
6.
Order and degree of an ODE
Unlock full access locked
THEORY
T
7.
Solutions of differential equations
Unlock full access locked
PRACTICE
P
8.
Solutions of differential equations
Unlock full access locked
THEORY
T
9.
Linear ODEs
PRACTICE
P
10.
Linear ODEs
Unlock full access locked
Direction field
THEORY
T
1.
Direction fields
PRACTICE
P
2.
Direction fields
Unlock full access locked
THEORY
T
3.
Euler's method
PRACTICE
P
4.
Euler's method
Unlock full access locked
THEORY
T
5.
Autonomous ODEs
PRACTICE
P
6.
Autonomous ODEs
Unlock full access locked
THEORY
T
7.
Existence and uniqueness of solutions of ODEs
PRACTICE
P
8.
Existence and uniqueness of solutions of ODEs
Unlock full access locked
THEORY
T
9.
Solution strategy on the basis of the slope field
Unlock full access locked
PRACTICE
P
10.
Solution strategy on the basis of the slope field
Unlock full access locked
Separation of variables
THEORY
T
1.
Differentials
PRACTICE
P
2.
Differentials
Unlock full access locked
THEORY
T
3.
Differential forms and separated variables
PRACTICE
P
4.
Differential forms and separated variables
Unlock full access locked
THEORY
T
5.
Solving ODEs by separation of variables
Unlock full access locked
PRACTICE
P
6.
Solving ODEs by separation of variables
Unlock full access locked
Linear first-order differential equations
THEORY
T
1.
Uniqueness of solutions of linear first-order ODEs
PRACTICE
P
2.
Uniqueness of solutions of linear first-order ODEs
Unlock full access locked
THEORY
T
3.
Linear first-order ODE and integrating factor
PRACTICE
P
4.
Linear first-order ODE and integrating factor
Unlock full access locked
THEORY
T
5.
Solving linear first-order ODEs
Unlock full access locked
PRACTICE
P
6.
Solving linear first-order ODEs
Unlock full access locked
Linear second-order differential equations
THEORY
T
1.
Uniqueness of solutions of linear 2nd-order ODEs
PRACTICE
P
2.
Uniqueness of solutions of linear 2nd-order ODEs
Unlock full access locked
THEORY
T
3.
Homogeneous linear 2nd-order ODEs with constant coefficients
PRACTICE
P
4.
Homogeneous linear 2nd-order ODEs with constant coefficients
Unlock full access locked
THEORY
T
5.
Solving homogeneous linear ODEs with constant coefficients
Unlock full access locked
PRACTICE
P
6.
Solving homogeneous linear ODEs with constant coefficients
Unlock full access locked
THEORY
T
7.
The Ansatz
Unlock full access locked
PRACTICE
P
8.
The Ansatz
Unlock full access locked
Solution methods for linear-second order ODEs
THEORY
T
1.
The Wronskian of two differentiable functions
PRACTICE
P
2.
The Wronskian of two differentiable functions
Unlock full access locked
THEORY
T
3.
Variation of constants
PRACTICE
P
4.
Variation of constants
Unlock full access locked
THEORY
T
5.
From one to two solutions
PRACTICE
P
6.
From one to two solutions
Unlock full access locked
THEORY
T
7.
Solving linear second-order ODEs
Unlock full access locked
PRACTICE
P
8.
Solving linear second-order ODEs
Unlock full access locked
Systems of differential equations
THEORY
T
1.
Systems of coupled linear first-order ODEs
PRACTICE
P
2.
Systems of coupled linear first-order ODEs
Unlock full access locked
End of Differential equations
PRACTICE
P
1.
Applications of ODEs
Unlock full access locked
THEORY
T
2.
End of Differential equations
Differential equations and Laplace transforms
THEORY
T
1.
The Laplace transform
PRACTICE
P
2.
The Laplace transform
6
THEORY
T
3.
The inverse Laplace transform
PRACTICE
P
4.
The inverse Laplace transform
8
THEORY
T
5.
Laplace transforms of differential equations
PRACTICE
P
6.
Laplace transforms of differential equations
Unlock full access locked
THEORY
T
7.
Convolution
PRACTICE
P
8.
Convolution
Unlock full access locked
THEORY
T
9.
Laplace transforms of Heaviside functions
Unlock full access locked
PRACTICE
P
10.
Laplace transforms of Heaviside functions
Unlock full access locked
THEORY
T
11.
Laplace transforms of periodic functions
PRACTICE
P
12.
Laplace transforms of periodic functions
Unlock full access locked
THEORY
T
13.
Riemann-Stieltjes integration
Unlock full access locked
THEORY
T
14.
Laplace transforms of delta functions
Unlock full access locked
PRACTICE
P
15.
Laplace transforms of delta functions
Unlock full access locked
THEORY
T
16.
Transfer and response functions
Unlock full access locked
PRACTICE
P
17.
Transfer and response functions
Unlock full access locked
Unlock full access  unlock
Teacher access
Request a demo account. We will help you get started with our digital learning environment.
Create demo account
Student access
Is your university not a partner? Get access to our courses via Pass Your Math independent of your university. See pricing and more.
Or visit omptest.org if jou are taking an OMPT exam.
More info
About us ⋅ Help ⋅ Privacy ⋅ Terms and conditions
Copyright © 2024 SOWISO