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