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Mathematics 21 Online
OpenStudy (anonymous):

How to simplify y=ce^(-ln(x)-x)?

OpenStudy (anonymous):

@dan815 @Abhisar @ganeshie8

ganeshie8 (ganeshie8):

\[\large \begin{align} \\ y &= ce^{-\ln(x) - x} \end{align}\]

ganeshie8 (ganeshie8):

\[\large \begin{align} \\ &= ce^{-(\ln(x) + x)} \end{align}\]

ganeshie8 (ganeshie8):

\[\large \begin{align} \\ &= \dfrac{c}{e^{(\ln(x) + x)} }\end{align}\]

ganeshie8 (ganeshie8):

\[\large \begin{align} \\ &= \dfrac{c}{e^{\ln(x)}*e^{ x} }\end{align}\]

ganeshie8 (ganeshie8):

\[\large \begin{align} \\ &= \dfrac{c}{x*e^{ x} }\end{align}\]

ganeshie8 (ganeshie8):

i gues thats it ^

OpenStudy (anonymous):

Okay, when it says find the general solution of y'+ay=0, for example, how do I find the answer on Ti-89 calculator? Like what's the input?

ganeshie8 (ganeshie8):

sorry not sure... i haven't used Ti-89 for like 10 years @UnkleRhaukus

OpenStudy (anonymous):

Thanks for the help.

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