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The equation a0 x2y″+ a1xy′+ a2y = φ(x) is called :
  • a)
    Legendre’s linear equation 
  • b)
    Cauchy’s linear equation
  • c)
    Simultaneous equation 
  • d)
    Method of undetermined coefficients
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The equation a0x2y″+ a1xy′+ a2y = φ(x) is called :a)Le...
-In mathematics, an Euler–Cauchy equation, or Cauchy–Euler equation, or simply Euler's equation is a linear homogeneous ordinary differential equation with variable coefficients. 
-Because of its particularly simple equidimensional structure the differential equation can be solved explicitly.
-A second order Euler-Cauchy differential equation x^2 y"+ a.x.y'+b.y=g(x) is called homogeneous linear differential equation, even g(x) may be non-zero. Also, after the substitution x=exponential (z) to obtained the solution, Euler-Cauchy differential equation is still non-homogeneous.
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The equation a0x2y″+ a1xy′+ a2y = φ(x) is called :a)Le...
The equation a0x2y is not complete as it is missing an operator or a constant. It is not possible to determine the meaning or solve the equation without additional information.
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The equation a0x2y″+ a1xy′+ a2y = φ(x) is called :a)Legendre’s linear equationb)Cauchy’s linear equationc)Simultaneous equationd)Method of undetermined coefficientsCorrect answer is option 'B'. Can you explain this answer?
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