d^2y/dx^2-cotxdy/dx-(1-cotx)y=e^xsinx କୁ ସମାଧାନ କରନ୍ତୁ

$$\frac { d ^ { 2 } y } { d x ^ { 2 } } - \cot x \frac { d y } { d x } - ( 1 - \cot x ) y = e ^ { x } \sin x$$

y ପାଇଁ ସମାଧାନ କରନ୍ତୁ

$$y=\frac{\left(\sin(x)\right)^{2}e^{x}}{\cos(x)-\sin(x)}$$

$$\nexists n_{2}\in \mathrm{Z}\text{ : }\left(x=\pi n_{2}+\frac{\pi }{4}\text{ or }x=\pi n_{2}\right)\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }x=\pi n_{1}$$