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am i allowed to rearrange this to d^2y/dx^2-dy/dx=1 and say this is a linear ODE

  • math -

    Using the notation
    y"=d²y/dx², and
    you can write
    y"+y'=1, or

    It is a linear ODE because the terms of the dependent variable, y, y', y", ... are linear in y, i.e. no terms contains (y")², or y³, etc.

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