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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
by answerhappygod
If Nx−My/(xM−yN)=R where R is afunction depending only on the quantity z=xy, then thedifferential equation
If Nx My Xm Yn R Where R Is A Function Depending Only On The Quantity Z Xy Then The Differential Equation 1
If Nx My Xm Yn R Where R Is A Function Depending Only On The Quantity Z Xy Then The Differential Equation 1 (41.1 KiB) Viewed 62 times
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​