Differential EquationHard

Question

Which one of the following curves represents the solution of the initial value problem Dy = 100 - y, where y(0) = 50

Options

A.
B.
C.
D.

Solution

= 100 - y
⇒    dx ⇒ ln (100 y) x c
since y(0) = 50    ⇒ - ln 50 = c
∴ - ln (100 - y) = x - ln 50
⇒ ln = ex

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