Question: Evaluate the following differential equations: 1. Variable Separable/Homogeneous Equation x 2 y = 4x 2 + 7xy + 2y 2 2. Exact Equation (cos x

Evaluate the following differential equations:

1. Variable Separable/Homogeneous Equation

x2y = 4x2 + 7xy + 2y2

2. Exact Equation

(cos x sin x xy2)dx + y(1 x2) dy = 0

3. Integrating Factor by Inspection

y(x2 y2 + 1)dx x(x2 y2 1)dy = 0

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