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. $y ^ { \prime } = y ^ { 2 } - 4 ; y ( 0 ) = - 3 ; y ( 0 ) = - 1 ; y ( 0 ) = 1 ; y ( 0 ) = 3$ Do these graphs represent the situation?

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The Answer of 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. $y ^ { \prime } = y ^ { 2 } - 4 ; y ( 0 ) = - 3 ; y ( 0 ) = - 1 ; y ( 0 ) = 1 ; y ( 0 ) = 3$ Do these graphs represent the situation?

One or More Initial Conditions Are Given for the Differential y′=y2−4;y(0)=−3;y(0)=−1;y(0)=1;y(0)=3y ^ { \prime } = y ^ { 2 } - 4 ; y ( 0 ) = - 3 ; y ( 0 ) = - 1 ; y ( 0 ) = 1 ; y ( 0 ) = 3y′=y2−4;y(0)=−3;y(0)=−1;y(0)=1;y(0)=3

One or More Initial Conditions Are Given for the Differential $y ^ { \prime } = y ^ { 2 } - 4 ; y ( 0 ) = - 3 ; y ( 0 ) = - 1 ; y ( 0 ) = 1 ; y ( 0 ) = 3$