Question: Solve the following differential equations:

1. \(\frac{dy}{dx}={{x}^{-7/3}}+5{{x}^{1/2}}-2{{x}^{-2}}+3{{e}^{-4x}}\,\)
2. \(\frac{dy}{dx}={{e}^{5x}}+\ln \left( {{e}^{5x}} \right)\)
3. \(\frac{dy}{dx}=\frac{-18{{x}^{-7}}+3\sqrt{x}}{{{x}^{-6}}+\frac{2}{3}{{x}^{3/2}}}\)
4. \(\left( {{x}^{2}}-1 \right)\frac{dy}{dx}+2xy=x\)

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Deliverable: Word Document