Differential Equations

Differential Equations

Jonathan Walters via YouTube Direct link

Separation of Variables :: dy/dx + 2xy^2 = 0 :: y'+2xy^2=0

1 of 27

1 of 27

Separation of Variables :: dy/dx + 2xy^2 = 0 :: y'+2xy^2=0

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Differential Equations

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  1. 1 Separation of Variables :: dy/dx + 2xy^2 = 0 :: y'+2xy^2=0
  2. 2 Separation of Variables :: yln(x) dx/dy = ((y+1) /x)^2
  3. 3 ODE:: y' + 2xy = x^3 :: Integrating Factor
  4. 4 ODE :: y' - x/(x+1)y = x :: Integrating Factor for Linear Equations
  5. 5 Exact Equations :: (1-3/y + x) dy/dx +y = 3/x-1
  6. 6 Exact Differential Equation IVP:: ((y^3-t^2)/y^5)dy/dt = -t/(2y^4)
  7. 7 Linear Models:: Applications of Linear ODEs
  8. 8 Radius of Convergence for Series Solution of a Differential Equation Including Complex Sing Pts
  9. 9 ODE:: y'' - xy' + 2y=0 :: Power Series Solution about an Ordinary Point
  10. 10 What are Regular Singular Points of Differential Equations?? With 3 Full Examples
  11. 11 ODE :: xy'' + y' +2xy = 0 :: Method of Frobenius Series Solution about a Regular Singular Point
  12. 12 Show sin(t) y'' + cos(t) y' +n(n+1) sin(t) y = 0 is a Legendre Equation
  13. 13 The Definition of the Laplace Transform and Three Basic Examples
  14. 14 Laplace Transform of a Piecewise Function Using the Definition
  15. 15 Find the Laplace Transform of cos(kt) using the Definition
  16. 16 Linearity Property of the Laplace Transform and 7 Useful Transforms to Know! Full Example.
  17. 17 Inverse Laplace Transform and Linearity of Inverse Laplace :: With Examples
  18. 18 Shifting Laplace Transforms :: The First Translation Theorem for Laplace Transforms
  19. 19 Inverse Laplace Transform :: Completing the Square :: First Translation Theorem in Reverse
  20. 20 Inverse Laplace Partial Fraction Decomposition :: Overall Strategy
  21. 21 Use Laplace Transform to Solve Initial Value Problem :: Full Example with Partial Fraction Decomp
  22. 22 Laplace Transform With Unit Step Functions :: Second Shifting/Translation Theorem
  23. 23 Proof of the Convolution Theorem :: Laplace Transforms
  24. 24 Homogeneous System of Linear Differential Equations :: Real Distinct Eigenvalues
  25. 25 Homogeneous System of Differential Equations :: Complex Eigenvalues
  26. 26 Bernoulli DIfferential Equation || xy' -(1+x)y = xy^2
  27. 27 (x^2+2y^2) dx/dy = xy || Homogeneous Substitution

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