Pregunta: Solve the given exact IVP. 8. (y2 cos x – 3x²y – 2x)dx + (2y sin x – x3 + ln y)dy = 0; y(0) = e

The given differential equation is

$({\mathrm{y}}^2\cos \mathrm{x}-3{\mathrm{x}}^2\mathrm{y}-2\mathrm{x})\mathrm{d}\mathrm{x}+(2\mathrm{y}\sin \mathrm{x}-{\mathrm{x}}^3+\ln \mathrm{y})\mathrm{d}\mathrm{y}=0\dots \dots \dots ..\left(1\right)$

This differential equation is in the form of