MathAnalysisDifferential equations

First-order linear differential equations

Theory

Solve a non-homogeneous ODE with an initial condition

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Find a function that satisfies the following conditions:

{y′=y/x2+e−1/xy(1)=1/e\begin{cases} y' = y/x^2 + e^{-1/x} \\ y(1) = 1/e \end{cases}Provide y(-1) as an answer.

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