Show that the nth derivative of (1-x2) y2 –xy1- m2y = 0. is (1-x2) yn+2-(2n+1)
xy n+1 – (n2+m2) y n = 0.

Question

Show that the nth derivative of (1-x2) y2 –xy1- m2y = 0. is (1-x2) yn+2-(2n+1) xy n+1 – (n2+m2) y n = 0.

Saurabh Koranglekar · Answer

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Show that the nth derivative of (1-x2) y2 –xy1- m2y = 0. is (1-x2) yn+2-(2n+1) xy n+1 – (n2+m2) y n = 0.

Show that the nth derivative of (1-x2) y2 –xy1- m2y = 0. is (1-x2) yn+2-(2n+1)
xy n+1 – (n2+m2) y n = 0.

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Show that the nth derivative of (1-x2) y2 –xy1- m2y = 0. is (1-x2) yn+2-(2n+1) xy n+1 – (n2+m2) y n = 0.

Show that the nth derivative of (1-x2) y2 –xy1- m2y = 0. is (1-x2) yn+2-(2n+1)xy n+1 – (n2+m2) y n = 0.

1 Answers

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Show that the nth derivative of (1-x2) y2 –xy1- m2y = 0. is (1-x2) yn+2-(2n+1)
xy n+1 – (n2+m2) y n = 0.