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

question 132

True/False

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

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