Finding General Equations Q1

Finding General Equations Q1

TGM Original Questions

Find the general solution to the differential equation \((1+{{x}^{2}})\frac{\mathrm{d}y}{\mathrm{d}x}=x{{\cos }^{2}}y\).

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Answer:\(\tan y=\ln \sqrt{1+{{x}^{2}}}+C\)

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