PG entrance exam CUET PG 2025 Mock Test Mathematical Science Ordinary Differential Equations

The solution of the differential equation \(\rm \frac{dy}{dx}+y=3e^xy^3\) is:

1
\(\rm \frac{1}{y^2}=6x^x+ce^{2x}\)
2
\(\rm \frac{1}{y^2}=6x^{-x}+ce^{2x}\)
3
\(\rm \frac{1}{y^2}=-2e^x+ce^{-2x}\)
4
\(\rm \frac{1}{y^2}=6x^{-x}+ce^{-2x}\)
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