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Which of the Given Differential Equations Matches the Given Direction dydx=x−1\frac { d y } { d x } = x - 1

Question 97

Multiple Choice

Which of the given differential equations matches the given direction field?  Which of the given differential equations matches the given direction field?    A)   \frac { d y } { d x } = x - 1   B)   \frac { d y } { d x } = 1 - y ^ { 2 }  C)   \frac { d y } { d x } = 1 + y   D)   \frac { d y } { d x } = x ^ { 2 } - y ^ { 2 }   E)   \frac { d y } { d x } = y - 1   F)   \frac { d y } { d x } = y ^ { 2 } - x ^ { 2 }   G)   \frac { d y } { d x } = 1 - x   H)   \frac { d y } { d x } = y ^ { 2 } - 1


A) dydx=x−1\frac { d y } { d x } = x - 1
B) dydx=1−y2\frac { d y } { d x } = 1 - y ^ { 2 }
C) dydx=1+y\frac { d y } { d x } = 1 + y
D) dydx=x2−y2\frac { d y } { d x } = x ^ { 2 } - y ^ { 2 }
E) dydx=y−1\frac { d y } { d x } = y - 1
F) dydx=y2−x2\frac { d y } { d x } = y ^ { 2 } - x ^ { 2 }
G) dydx=1−x\frac { d y } { d x } = 1 - x
H) dydx=y2−1\frac { d y } { d x } = y ^ { 2 } - 1

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