If Nx−My/(xM−yN)=R where R is a function depending only on the quantity z=xy, then the differential equation
Posted: Thu Jul 14, 2022 4:03 pm
If Nx−My/(xM−yN)=R where R is afunction depending only on the quantity z=xy, then thedifferential equation
If xM−yNNx−My=R, where R is a function depending only on the quantity z=xy, then the differential equation M+Ny′=0 has an integrating factor of the form μ(z)=e∫(z)dz. Find an integrating factor and solve the given equation. (24x+y9)+(y8x2+x24y)dxdy=0 μ(xy)=xy1,8x3y+29x2+8y3=c μ(xy)=xy,8x2y+29x3+8y2=c μ(xy)=xy,8x3y+29x2+8y3=c μ(xy)=xy1,8x3y+29x3+8y3=cμ(xy)=xy1,8x2y+29x2+8y2=c
If xM−yNNx−My=R, where R is a function depending only on the quantity z=xy, then the differential equation M+Ny′=0 has an integrating factor of the form μ(z)=e∫(z)dz. Find an integrating factor and solve the given equation. (24x+y9)+(y8x2+x24y)dxdy=0 μ(xy)=xy1,8x3y+29x2+8y3=c μ(xy)=xy,8x2y+29x3+8y2=c μ(xy)=xy,8x3y+29x2+8y3=c μ(xy)=xy1,8x3y+29x3+8y3=cμ(xy)=xy1,8x2y+29x2+8y2=c