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Consider the following initial value problem: $$ y{prime}+frac{2}{t} y=2,1 leq t leq 2 text { with } y(1)=1 $$ The value of $c$ such that

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Consider the following initial value problem: $$ y"{\prime}+\frac{2}{t} y=2,1 \leq t \leq 2 \text { with } y(1)=1 $$ The value of $c$ such that $y=\frac{2}{3} t+\frac{cHt^{2}}$ is the exact solution of the IVP is: SP.SD. 4701

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