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For each part, write a differential equation that satisfies the given criteria (if possible). If such a differential equation can't exist, explain why. (a) An ordinary, linear differential equation of order 3. (b) A ordinary, nonlinear differential equation of order 2 . (c) An ordinary differential equation for which y = t2 is a solution.

For each part, write a differential equation that satisfies the given criteria (if possible). If such a differential equation can't exist, explain why. (a) An ordinary, linear differential equation of order 3. (b) A ordinary, nonlinear differential equation of order 2 . (c) An ordinary differential equation for which y = t2 is a solution.

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For each part, write a differential equation that satisfies the given criteria (if possible). If such a differential equation can't exist, explain why. (a) An ordinary, linear differential equation of order 3. (b) A ordinary, nonlinear differential equation of order 2 . (c) An ordinary differential equation for which y = t 2 is a solution.

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