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. 2 Consider the following differential equation 4 1-1332' (1 + $2)?! = 2$y + (a) Solve the differential equation. (b) Give the geometric interpretation of the solution obtained in (a)

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