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When changing an higher order equation to a system of first order quations how do I tell if the system is linear or not and if it's homogeneous or not?

Could someone show me like problems 3 and 10 and tell me why they would be linear or homogeneous or not? Exercises equivalent 1-10, write an equivalent first-order system in the form given equations by (4.1). the dimension of the system and state whether or not it is linear, and if linear, whether or not it is homogeneous. 3. x 4x 3x 2 t 4. x (4) S. X x 3y, x 2x 5y Hint: First solve the two equations for x and y. y 2x 3y 0, y 2y

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