DANIEL STANISLAW JANKOWSKI

M A T H E M A T I C S .. T U T O R I A L S
  • Ordinary Differential Equation (ODE).
  • Differential Equation reducible to the separated variables.
    • Homogeneous Differential Equation
    • ODE in the form y'=f(ax+by+c).
    • ODE in the form y'=(L/M) where: L=ax+by, M=cx+dy.
    • ODE in the form y'=(L/M) where: L=ax+by+c, M=dx+ey+f.
  • Linear ordinary differential equations.
  • Bernoulli differential equation.
  • Integral curves.
    • Envelope.
    • Orthogonal trajectories.
  • Clairout equation.
  • Reduction order system.
    • ODE of order II without dependent variables.
    • ODE of order II without independent variables.
    • ODE of order n without dependent variables.
  • Linear ordinary differential equations of order n.
    • Linear homogeneous and nonhomogeneous differential equation.
    • Wronskian.
    • Arrangement of basic integrals.
    • Homogeneous differential equations of order II with constant coefficients.
    • Nonhomogeneous differential equations of order II with constant coefficients.
  • Cauchy–Euler equation.
  • Systems of linear differential equations with constant coefficients.
    • The method of elimination.
    • Matrix method.
  • Laplace transform.
    • Operational Method.
    • Laplace transform.
    • Inverse Laplace transform.
    • Convolution.
    • Integral and integral-differential equation.
  • Discrete differential equation.
    • Z-transform.
  • Partial Differential Equation.
    • Hiperbolic type.
    • Parabolic type.
    • Eliptic type.
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