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Problem 2 Prove the following: (i) "J,(1) = -1"J,+1(1)." (ii) 2J,(r) = Jn-1(x) – Jn+1(x). (iii) J(r) = Jn-1(x)-J(x). %3D (v) J4(2) = VcosT. %3D Cosx. - (vi) Ją(z) = V(: 2 sinz-rco8.r (vii) 2.(r) = J2(r) – Jo(x). »(1) Jo(r). %3D (r) J(r).J_„(x) )= 5
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Transcribed Image Text:Problem 2 Prove the following: (i) "J,(1) = -1"J,+1(1)." (ii) 2J,(r) = Jn-1(x) – Jn+1(x). (iii) J(r) = Jn-1(x)-J(x). %3D (v) J4(2) = VcosT. %3D Cosx. - (vi) Ją(z) = V(: 2 sinz-rco8.r (vii) 2.(r) = J2(r) – Jo(x). »(1) Jo(r). %3D (r) J(r).J_„(x) )= 5
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