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(Solved): Solve y^(')+2x^(-1)y=x^(2),y(1)=6. (a) Identify the integrating factor, \alpha (x). \alpha (x)= (b) ...



Solve

y^(')+2x^(-1)y=x^(2),y(1)=6

. (a) Identify the integrating factor,

\alpha (x)

.

\alpha (x)=

(b) Find the general solution.

y(x)=

Note: Use C for an arbitrary constant. (c) Solve the initial value problem

y(1)=6

.

y(x)=
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