By using an integrating factor, solve the differential equation dy/dx + 4y/x = 6x^-3 (6 marks)
Answer : y = 3/x2 + c/x4 Integrating factor is 4/x (1 mark) => I = eintegral (4/x) dx (1 mark) => I = x4 (1 mark). Using the formula, d/dx (x4 y) = 6x (1 mark)=> x4y = integral(6x)dx (1 mark for integrating). Rearranging gets to answer of y=3/x2 + c/x4. Where c is an arbitary constant (1 mark).
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Answered by Mark D. • Further Mathematics tutor
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