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1)Find a value of y_0 s.t. the Initial Value Problem y' = t^(-3) * y, y(0) = y_0 has infinitely many solutions. Justify this choice

1)Find a value of y_0 s.t. the Initial Value Problem y' = t^(-3) * y, y(0) = y_0 has infinitely many solutions. Justify this choice by solving the IVP with this value.

2)Find a value of y_0 s.t. the Initial Value Problem y' = t^(-3) * y, y(0) = y_0 has no solution. Justify this choice by solving the IVP with this value.

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