271/1000 | Find nth Order Differential Coefficient of y=sin(msin^-1x) | Leibnitz's Theorem Explained

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If y = sin(msin^-1 x), prove that (1-x2)y2 - xy1 + m2y = 0 and (1-x2)yn+2 - (2n+1)xyn+1 + (m2-n2)... If y = sin(msin^-1 x), prove that (1-x2)y2 - xy1 + m2y = 0 and (1-x2)yn+2 - (2n+1)xyn+1 + (m2-n2)...
Successive differentiation || Find nth derivative by using Leibnitz Successive differentiation || Find nth derivative by using Leibnitz's Theorem y=sin(m sin^(-1)(x))
#y=sin(msin^-1x) leibnitz theorem in tamil #y=sin(msin^-1x) leibnitz theorem in tamil
If y=sin(msin-1x),then prove that (1-x^2)yn+2-(2n+1)xyn+1+(m^2-n^2)yn=0 If y=sin(msin-1x),then prove that (1-x^2)yn+2-(2n+1)xyn+1+(m^2-n^2)yn=0
If y = e^sin-1 x, prove that (1-x^2)yn+2 - (2n+1)yn+1 - (m^2+n^2)yn=0. Hence find yn for x=0 || #24 If y = e^sin-1 x, prove that (1-x^2)yn+2 - (2n+1)yn+1 - (m^2+n^2)yn=0. Hence find yn for x=0 || #24
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