dy/dx+xsiny=x^3cos^2y କୁ ସମାଧାନ କରନ୍ତୁ

$$\frac { d y } { d x } + x \sin y = x ^ { 3 } \cos ^ { 2 } y$$

x ପାଇଁ ସମାଧାନ କରନ୍ତୁ

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x=\frac{\sqrt{\sin(y)}}{\cos(y)}\text{; }x=-\frac{\sqrt{\sin(y)}}{\cos(y)}\text{, }&\exists n_{1}\in \mathrm{Z}\text{ : }\left(y\geq 2\pi n_{1}\text{ and }y\leq 2\pi n_{1}+\pi \right)\text{ and }\nexists n_{2}\in \mathrm{Z}\text{ : }y=\pi n_{2}+\frac{\pi }{2}\end{matrix}\right.$$