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Consider the Differential Equation yy ^ { \prime } = t3t ^ { 3 }

question 89

Multiple Choice

Consider the differential equation yy ^ { \prime } = t3t ^ { 3 } (y + 3) . Which of the following statements is/are true?
(I) f(t) = -3 is a constant solution to this differential equation.
(II) f(t) = 0 is a constant solution to this differential equation.
(III) If f(t) is a solution to the differential equation with initial conditions y(1) = 0, then ff ^ { \prime } (1) = 3.

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