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Snehasish ghosh Asked a Question
July 4, 2020 8:18 pmpts 30 pts
  • IIT JAM
  • Physics (PH)

Is the method of solving a cauchy-euler homogeneous linear differential equation the same as that of linear different equation with constant coefficients? i mea

Is the method of solving a Cauchy-Euler Homogeneous Linear differential equation the same as that of Linear different equation with constant coefficients? I mean can we find the solution of a Cauchy- Euler homogeneous linear differential equation by just finding the C.F and P.I. as we do in Linear Homogeneous Differential Equations with constant coefficients?
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  • Vaishali sharma Best Answer
    yes
    Likes(1) Reply(11)
    Vaishali sharma
    we may take it
  • Chandra dhawan thankyou
    yes dear
    Likes(1) Reply(1)
    Chandra dhawan
    for convenience and ease of calculation in homogeneous eqn we take like d^2 = D(D-1)
  • Ruby negi thankyou
    yes u can...
    Likes(1) Reply(0)
  • Vaishali sharma
    we have to deal both in similar manner.....but for convenience and ease of calculation in homogeneous eqn we take like d^2 = D(D-1)
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  • Ujjawal vishal
    yes we have to find cf and pi... but in cauchy euler method ,we need different trick to solve it... we take x=e^z and then chnage derivative of y into derivative of z accordingly
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