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Is y=−ln⁡(e−x−154)y = - \ln \left( e ^ { - x } - \frac { 15 } { 4 } \right)

Question 132

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Is y=−ln⁡(e−x−154)y = - \ln \left( e ^ { - x } - \frac { 15 } { 4 } \right) the solution to the differential equation dydx=ey−x\frac { d y } { d x } = e ^ { y - x } with y(ln⁡4)=−ln⁡4y ( \ln 4 ) = - \ln 4 ?

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