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).
MD
Answered by Mark D. • Further Mathematics tutor
7243 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸The roots of the equation z^3 + 2z^2 +3z - 4 = 0, are a, b and c . Show that a^2 + b^2 +c^2 = -2
Using a Taylor's series or otherwise; derive Euler's Formula
Solve the second order ODE, giving a general solution: x'' + 2x' - 3x = 2e^-t
For what values of x is Cosh^2(x) - Sinh(x) = 5 Give your answer in the form of a logarithm