Question: 1 Consider the following differential equation with dependent variable y(t) : d djj = y/1 t2 (1) (a) Classify the differential equation in (1) by

1 Consider the following differential equation with dependent variable y(t) : d djj = y\\/1 t2 (1) (a) Classify the differential equation in (1) by indicating the order and Whether is linear or nonlinear. Can it be classied as separable dif- ferential equation? (b) Can we guarantee that the initial value problem consisting of equa- tion (1) and the condition y(0) = 1 has a unique solution? Justify your answer. (c) Without solving the differential equation determine an interval in which a unique solution of the initial value problem dened in (b) is certain to exist

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