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Differential Equations

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Evaluating the Solution of an IVP at a Point

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Suppose $\phi(x)$ solves the initial value problem $xy'+(x+1)y=2xe^{-x}, y(1)=0$.

Then, the value of $\phi(2)$ is equal to:

A

$0.068$

B

$0.203$

C

$11.1$

D

$0.338$