Pregunta: 7) Find the IVP solution for (y2cosx−3x2y−2x)dx+(2ysinx−x3+lny)dy=0 given y(0)=c

given differential equation is :

$({\mathrm{y}}^2\cos \mathrm{x}-3{\mathrm{x}}^2\mathrm{y}-2\mathrm{x})\mathrm{d}\mathrm{x}+(2\mathrm{y}\sin \mathrm{x}-{\mathrm{x}}^3+\ln \mathrm{y})\mathrm{d}\mathrm{y}=0$ , given $\mathrm{y}\left(0\right)=\mathrm{c}$

first, we check if the equation is exact.