• Differential Equation
  01:12
• Ordinary Differential Equation
  01:15
• Order and Degree of Differential Equation
  01:26
• Formation of Differential Equation
  05:00
• Solution of Differential Equation
  02:03
• Differential Equation with Separable Variables
  05:00
• Homogeneous Differential Equation
  05:00
• Equation Reducible to Homogeneous Form when a/a' ≠ b/b'
  05:00
• Solution of Differential Equation when a/a' = b/b'
  05:00
• Leibnitz Linear Equation
  05:00
• Bernoulli's Equation
  05:00
• Exact Differential Equation
  05:00
• Equation Reducible to Exact Differential Equation
  01:54
• If for an Equation of Type: {f1(xy)ydx - f2(xy)xdy = 0}
  05:00
• If for an Equation of Type: {Mdx + Ndy = 0}
  05:00
• Equation Solvable for p
  05:00
• Equation Solvable for y
  02:27
• Equation Solvable for x
  02:33
• Clairaut's Equation
  05:00
• Linear Differential Equation
  01:35
• Solution of Linear Differential Equation
  01:32
• Rules for Finding Complementary Function
  02:19
• CF if Roots are Real and Different
  05:00
• CF if Two Roots are Real and Equal
  05:00
• CF if One Pair of Roots is Imaginary and Different
  05:00
• CF if Two Pairs of Imaginary Roots be Equal
  05:00
• Rules for Finding Particular Integral
  02:42
• PI when X = eax
  05:00
• PI when X = Sin (ax+b) or X = Cos (ax+b)
  05:00
• PI when X = xm
  05:00
• PI when X = eax V
  05:00
• When X is any other Function of X
  05:00
• Method of Variation of Parameters
  05:00
• Operator Method
  03:47
• Working Procedure to Solve the Linear Differential Equation
  05:00
• Cauchy's Homogeneous Linear Equation
  05:00
• Legendre's Linear Equation
  05:00
• Simultaneous Linear Equations with Constant Coefficient
  05:00
• Simple Harmonic Motion
  05:00
• RLC Circuit
  05:00
• Deflection of Beams
  04:10
• Introduction to Matrices and Determinants
  05:00
• Minors and Cofactors of Determinant
  03:39
• Properties of Dterminants
  08:35
• Types of Matrices
  07:02
• Matrix Algebra
  09:13
• Some Special Matrices
  08:47
• Adjoint of a Matrix
  05:00
• Elementary Row/Column Transformation
  05:00
• Rank of a Matrix
  05:00
• Homogeneous & Non-Homogeneous Equations
  06:23
• Inverse of a Matrix
  05:00
• Gauss Jordan Method
  05:00
• Partition Method of Finding the Inverse
  02:44
• Matrix Method
  05:26
• Cramer's Rule (homog.)
  05:26
• Gauss Elimination Method
  03:49
• Linear Dependence of Vectors
  05:00
• Consistency of Linear System of Equations
  02:34
• Characteristic Equation
  05:00
• Eigen Values and Eigen Vectors
  05:18
• Properties of Eigen Values
  02:10
• Caley-Hamilton Theorem
  05:00
• Normal Form of a Matrix
  01:19
• Reduction to Diagonal Form
  03:16
• Complex Matrices
  05:37
• Sequence
  01:56
• Series
  03:33
• General Properties of Series
  02:04
• Series of Positive Terms
  02:11
• Comparision Test: Case 1
  01:11
• Comparision Test: Case 2
  01:04
• Comparision Test: Case 3
  05:00
• Integral Test
  05:00
• Comparision of Ratios
  01:23
• D'Alembert's Ratio Test
  01:29
• D'Alembert's Ratio Test: Case 1 (λ <1)
  05:00
• D'Alembert's Ratio Test: Case 2 (λ > 1)
  05:00
• Raabe's Test
  05:00
• Logarithmic Test
  01:22
• Cauchy's Ratio Test
  05:00
• Alternating Series
  05:00
• Absolute and Conditionally Convergent
  01:21
• Complex Number
  01:31
• Modulus and Argument of Complex Number
  01:27
• Arithmetic Properties of Complex Number
  02:39
• Conjugate Properties of Complex Number
  00:44
• De-Moivre's Theorem
  05:00
• Expansion of Sin(nθ), Cos(nθ) and Tan(nθ)
  05:00
• Addition Formulae
  05:00
• Expansion of Sinmθ, Cosnθ, or Sinmθ Cosnθ
  05:00
• Exponential Function of a Complex Variable
  05:00
• Circular Function of a Complex Variable
  05:00
• Hyperbolic Function of a Complex Variable
  05:00
• Inverse Hyperbolic Function of a Complex Variable
  05:00
• Logarithmic Function of a Complex Variable
  05:00
• Sin(x+iy) and Cos(x+iy)
  01:32
• Tan(x+iy)
  02:38
• Sec(x+iy)
  02:17
• Sinh(x+iy)
  01:25
• Tanh(x+iy)
  02:40
• Log(x+iy)
  01:46
• (α+iβ) (x+iy)
  01:46
• C + iS Method
  05:00
• Operator D
  01:23

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