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Linear Differential Equation, Homogeneous Linear Differential Equation, LDE with constant coefficients, Homogeneous LDE with constant coefficients, Solving a Homogeneous LDE with constant coefficients, Concept of Auxillary Equation, Repeated Roots, Imaginary Roots, Repeated Imaginary Roots, and related Topics.
Linear Differential Equation, Homogeneous Linear Differential Equation, LDE with constant coefficients, Homogeneous LDE with constant coefficients, Solving a Homogeneous LDE with constant coefficients, Concept of Auxillary Equation, Repeated Roots, Imaginary Roots, Repeated Imaginary Roots, and other topics.
Solving a LDE with constant coefficients, Complimentary Function and Particular Integral, Concept of Inverse Operator, Calculating PI when f(D) = D-a, Calculating PI when f(D) = (D-m1)(D-m2)...(D-mn) , Calculating PI when X = e^(ax), and other topics.
Calculating PI when X = Sin(ax+b) or Cos(ax+b), Calculating PI when X = x^k, Calculating PI when X = e^(ax).V(x), and other topics.
Review of Inverse Operator Formulae, Typical Problems on Solution of LDE, and other topics.
Cauchy's Linear Equation, Legendre's Linear Equation, Solving using Method of Variation of Parameters, and other topics.
Introduction to DE, Ordinary DE, Partial DE, Order, Degree, Formation of DE, Variable Separable DE, Concept of Particular and General Solution, Solving by Substitution, and other topics.
Homogeneous DE, Type dy/dx=(a1x+b1y+c1)/(a2x+b2y+c2), Type dy/dx=[K1(ax+by)+c1]/[K2(ax+by)+c2], and other topics.
First Order Linear DE, Solution of First Order Linear DE, DE of type f'(y)dy/dx + P(x)f(y) = Q(x), Bernoulli's Equation, and other topics.