Given $y ^ { \prime }$ = $e ^ { y }$

Question

Given $y ^ { \prime }$ = $e ^ { y }$ - 1. On a ty-coordinate system sketch the solutions corresponding to the initial conditions $y ( 0 ) = - 1$ and $y ( 0 ) = 1$ . Does this graph represent the situation?

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The Answer of Given $y ^ { \prime }$ = $e ^ { y }$ - 1. On a ty-coordinate system sketch the solutions corresponding to the initial conditions $y ( 0 ) = - 1$ and $y ( 0 ) = 1$ . Does this graph represent the situation?

Given y′y ^ { \prime }y′ = eye ^ { y }ey