a)yā²=1+x2xyāThis linear ordinary Differential equation. Solving the given differential equation by variable separable form,ydyā=1+x2xādx Integrate both side,ā«ydyā=21āā«1+x22xādxlny=21āln(1+x2)+cb)sinydx+cosydy=0 This linear ordinary Differential equation. Solving the given differential equation by variable separable form,sinycosyādy=ādx Integrate both side,ā«sinycosyādy=āā«dxlnsiny=āx+cc)dy=2t(y2+9)dt This linear ordinary Differential equation. Solving the given differential equation by variable separable form,dy=2t(y2+9)dt32+y21ādy=2tdt91ā1+(3yā)21ādy=2tdt Integrate both side,91āā«1+(3yā)21ādy=2ā«tdt31ātanā1(3yā)=t2+c
Comments
Leave a comment