Consider the following Statement : : For the ODE: 2x²y" – xy' +(1–x²)y = 0; roots of indicial equation are 0 and ½. А %3D : For the ODE: (2x+x')y" – y' – 6xy = 0, roots of indicial equation are 0 and 2/3. %3D Identify the correct one: (а) А->F, В—> T (b)A→T, B→ F (c) A→F, B→F (d)А->Т, В > Т (e) None of these

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the following Statement :
: For the ODE: 2x²y" – xy' +(1–x²)y = 0; roots of indicial equation are 0 and ½.
А
%3D
: For the ODE: (2x+x')y" – y' – 6xy = 0, roots of indicial equation are 0 and 2/3.
%3D
Identify the correct one:
(а) А->F, В—> T
(b)A→T, B→ F
(c) A→F, B→F
(d)А->Т, В > Т
(e) None of these
Transcribed Image Text:Consider the following Statement : : For the ODE: 2x²y" – xy' +(1–x²)y = 0; roots of indicial equation are 0 and ½. А %3D : For the ODE: (2x+x')y" – y' – 6xy = 0, roots of indicial equation are 0 and 2/3. %3D Identify the correct one: (а) А->F, В—> T (b)A→T, B→ F (c) A→F, B→F (d)А->Т, В > Т (e) None of these
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