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2 years ago

The distance between Boston and Detroit is 702.Jusn has driven 150 how much farther does he have to drive?

Mathematics

1 answer:

Andrew [12]2 years ago

7 0

652 because 702-150=652

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$-z'+xz=x\implies z'-xz=-x$

Find an integrating factor:

$\mu(x)=\exp\left(\displaystyle\int-x\,\mathrm dx\right)=e^{-x^2/2}$

Multiply both sides of the ODE by $\mu$ :

$e^{-x^2/2}z'-xe^{-x^2/2}z=-xe^{-x^2/2}$

The left side can be consolidated as a derivative:

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