MCQ
વિકલ સમીકરણ $\frac{{dy}}{{dx}} + 2y\cot x = 3{x^2}{\rm{cose}}{{\rm{c}}^2}x$ નો ઉકેલ મેળવો.
- ✓$y {\sin ^2}x = {x^3} + c$
- B$y\sin x = c$
- C$y\cos {x^2} = c$
- D$y\sin {x^2} = c$
This is a linear differential equation in $y.$
$I.F.$$ = {e^{2\int_{}^{} {\cot xdx} }} = {e^{2\log \sin x}} = {\sin ^2}x$
$y. (I.F.)=$$\int_{}^{} {Q({\rm{I}}{\rm{.F}}{\rm{.}}){\rm{ }}dx} $
$y.{\sin ^2}x = \int_{}^{} {3{x^2}{\rm{cose}}{{\rm{c}}^2}x.{{\sin }^2}xdx = {x^3} + c} $.
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.