diff-equation

Question: The differential equation satisfied by the family of curves $y=ax\cos \,\left( \frac{1}{x}+b \right)$, where a, b are parameters, is

1) ${{x}^{2}}{{y}_{2}}+y=0$

2) ${{x}^{4}}{{y}_{2}}+y=0$

3) $x{{y}_{2}}-y=0$

4) ${{x}^{4}}{{y}_{2}}-y=0$

Solution:

Explanation: No Explanation

Formation of differential equations

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