1. (a) Consider the following equation: xy dy – (3x² + 4y²) dx = 0 (1) State the order of the equation, identify whether it's a linear or non-linear equation, and then state the type of equation. (i) Solve the given equation. (b) Consider the following equation: 4y" + y = -4 cos ( – 8x sin (1) (1) State the order of Equation (1). It is a linear equation. Now, write a new equation by modifying Equation (1) appropriately as to make it non-linear. (ii) Solve the given Equation (1).

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