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Differential equations and related rates — Question 232

Original QCE Vault practice · 1 mark

Q232 · Practice questionTechnology-freeComplex familiar1 mark

QUESTION 232

A slope field has y′=ay+by'=ay+b, independent of x. Slopes vanish along y=3 and equal 4 along y=1. Which equation fits?
Equal-scale direction field with slopes depending only on y: positive below y=3, zero at y=3 and negative above it. Tick numerals have white clearance and no field segments are centred on either axis.
(A)
y′=2y−6y'=2y-6
(B)
y′=6−2yy'=6-2y
(C)
y′=4−yy'=4-y
(D)
y′=x(6−2y)y'=x(6-2y)
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