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One or More Initial Conditions Are Given for the Differential y=cosy;y(0)=π4;y(0)=5π4y ^ { \prime } = \cos y ; y ( 0 ) = - \frac { \pi } { 4 } ; y ( 0 ) = \frac { 5 \pi } { 4 }

Question 88

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One or more initial conditions are given for the differential equation. Use the qualitative theory of autonomous differential equations to sketch the graphs of the corresponding solution. Include a yz-graph as well as a ty-graph. y=cosy;y(0)=π4;y(0)=5π4y ^ { \prime } = \cos y ; y ( 0 ) = - \frac { \pi } { 4 } ; y ( 0 ) = \frac { 5 \pi } { 4 } Do these graphs represent the situation?  One or more initial conditions are given for the differential equation. Use the qualitative theory of autonomous differential equations to sketch the graphs of the corresponding solution. Include a yz-graph as well as a ty-graph.  y ^ { \prime } = \cos y ; y ( 0 ) = - \frac { \pi } { 4 } ; y ( 0 ) = \frac { 5 \pi } { 4 }  Do these graphs represent the situation?

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