Question: ( 1 0 pts ) For x ^ ( ' ) = t ^ ( 2 ) + x , sketch a slope field in

(10pts) For x^(')=t^(2)+x, sketch a slope field in the region -3=t=3,-3=x=3 using the method of isoclines. You should give at least 6 isoclines for slope m=-2,-1,0,1,2, and 3.(15pts) Set up and solve the ODE for the orthogonal curves to the family of curves y=cx^(2). Then sketch the graph.
( 1 0 pts ) For x ^ ( ' ) = t ^ ( 2 ) + x ,

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