(x^3y^3+x^2y^2+xy+1)ydx+(x^3y^3-x^2y^2-xy+1)xdy=0 #NonExact L583 @MathsPulseChinnaiahKalpana

#reducibletoexact #nonexactequation Hello, People! Here is a video of Non-Exact equation problem, which is reducible to exact using integrating factor(I.F.) 1/Mx-Ny. My hearty thanks to all the subscribers, supporters, viewers and well-wishers❤ With Love, Chinnaiah Kalpana🍁 Note: Method: If the equation Mdx+Ndy=0 is of the form yf(xy)dx+xf(xy)dy=0 and Mx-Ny≠0 then 1/Mx-Ny is an integrating factor of Mdx+Ndy=0. If Mx-Ny=9, then M/N=y/x. Then the equation reduces to ydx+xdy=0. Working rule to solve Mdx+Ndy=0: 1. General equation is Mdx+Ndy=0 -----(i) observe (partial derivative of M w.r.t y)≠ (partial derivative of N w.r.t x), then (i) is not exact. 2. Observe (i) is of the form yf(xy)dx+xg(xy)dy=0. 3. Find Mx-Ny and observe it ≠0. Then 1/Mx-Ny is an I.F. of (i). 4. Multiply (i) with I.F. to transform it into an exact equation of (i) M1dx+N1dy=0 ----(ii) 5. Solve (ii) to get the general solution of (i). For more such videos👇    • Differential Equations- Engineering Mathem...   Stay tuned to 'Maths Pulse'. Get rid of 'Maths Phobia'. Have a happy learning! #chinnaiahkalpana #mathspulse #engineeringmathematics #bscmathsproblems #nonexactproblems #reducibletoexactproblems