# Dy/dx=x+y

Input interpretation |
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(dy(x))/(dx) = x + y(x) |

d’Alembert’s equation |

y(x) = x (-1) + y'(x) |

ODE classification |

first-order linear ordinary differential equation |

Differential equation solution |

y(x) = c_1 e^x – x – 1 |

Plots of sample individual solution |

| | | | y(0) = 1 |

Sample solution family |

(sampling y(0)) |