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Using the Given Conditions, Obtain a Slope Field and Graph y=y(2lny),y(0)=140x4,0y3\begin{array} { l } y ^ { \prime } = y ( 2 - \ln y ) , y ( 0 ) = \frac { 1 } { 4 } \\0 \leq x \leq 4,0 \leq y \leq 3\end{array}

question 42

Essay

Using the given conditions, obtain a slope field and graph the particular solution over the specified interval. Then find the general solution of the differential equation. y=y(2lny),y(0)=140x4,0y3\begin{array} { l } y ^ { \prime } = y ( 2 - \ln y ) , y ( 0 ) = \frac { 1 } { 4 } \\0 \leq x \leq 4,0 \leq y \leq 3\end{array}

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