PROBLEM SET 1.4ODEs. INTEGRATING FACTORSTest for exactness. If exact, solve. If not, use an integrating factor as given or obtained by inspection or by the theorems in the text. Also, if an initial condition is given, find the corresponding particular solution.2xydxx2dy=0x3dxy3dy=0sinxcosydxcosxsinydy=0e3(dr3rd)=0(x2y2)dx-2xydy=03(y1)dx=2xdy,(y1)x-42xtanydxsec2ydy=0ex(cosydx-sinydy)=0e2x(2cosydx-sinydy)=0,y(0)=0ydx[ytan(xy)]dy=0,cos(xy)2coshxcosydx=sinhxsinydy(2xydxdy)ex2=0,y(0)=2e-ydxe-x(-e-y1)dy=0,F=exy(a1)ydx(b1)xdy=0,y(1)=1,F=xaybExactness. Under what conditions for the constants a,b,k,l isx by exact? Solve the exact ODE.Pl