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  2. MATHEMATICAL TRIPOS Part IB Tuesday, 2 June, 2015 9:00 ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2015/PaperIB_1.pdf
    17 Jun 2019: Show that theSturm–Liouville equation can be written as a so-called Fredholm integral equation of theform. ... iv) Derive the Fredholm integral equation for the Sturm–Liouville equation on theinterval [0,1].
  3. MATHEMATICAL TRIPOS Part II Alternative A Wednesday 4 June ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2003/PaperIIA_2.pdf
    17 Jun 2019: mẍ = q(E ẋc B). Show that this equation follows from the Lagrangian. ... 17B Mathematical Methods. (i) Explain how to solve the Fredholm integral equation of the second kind,.
  4. MATHEMATICAL TRIPOS Part II Alternative A Wednesday 5 June ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2002/PaperIIA_3.pdf
    17 Jun 2019: Hence show that equation () of Part (i) hasa similarity solution of the form. ... 17C Mathematical Methods. (i) State the Fredholm alternative for Fredholm integral equations of the second kind.
  5. MATHEMATICAL TRIPOS Part IB 2015 List of Courses Analysis ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2015/List_IB.pdf
    17 Jun 2019: Show that theSturm–Liouville equation can be written as a so-called Fredholm integral equation of theform. ... iv) Derive the Fredholm integral equation for the Sturm–Liouville equation on theinterval [0,1].
  6. MATHEMATICAL TRIPOS Part II 2003 List of Courses Geometry ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2003/list_II.pdf
    17 Jun 2019: The evolution of its scale factor a(t) is governed bythe Friedmann equation. ... Part II 2003. 24. A2/17 Mathematical Methods. (i) Explain how to solve the Fredholm integral equation of the second kind,.
  7. MATHEMATICAL TRIPOS Part II 2002 List of Courses Geometry ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2002/list_II.pdf
    17 Jun 2019: Show that θ(ξ,t) satisfies thepartial differential equation. θξξ ξ. 2θξ = tθt. ... Hence show that equation () of Part (i) hasa similarity solution of the form.

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