# (dy/dx)^2

Input interpretation |
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((dy(x))/(dx))^2 |

ODE classification |

first-order nonlinear ordinary differential equation |

Differential equation solution |

y(x) = c_1 |

Series expansion at x=0 |

y'(0)^2 + 2 x y'(0) y”(0) + x^2 (y”(0)^2 + y^(3)(0) y'(0)) + x^3 (1/3 y^(4)(0) y'(0) + y^(3)(0) y”(0)) + 1/12 x^4 (3 y^(3)(0)^2 + y^(5)(0) y'(0) + 4 y^(4)(0) y”(0)) + O(x^5) (Taylor series) |

Derivative |

d/dx(y'(x)^2) = 2 y'(x) y”(x) |