Question

Over which interval does a valid solution exist for dy/dx=−2/(x^(3))+2e^(2x−2)?

Answer 1

D

Explanation:

-2×(x^-3) + 2e^(2x-2) = dy/dx

Integrate for y

y = -2×(x^-2)÷-2 + 2[e^(2x-2) ÷ 2] + c

y = 1/x² + e^(2x-2) + c

y is undefined only at x² = 0

Because x² is in the denominator