y(x^2y^2+2)dx+x(2-2x^2y^2)dy=0 #NonExact L581 @MathsPulseChinnaiahKalpana
#reducibletoexact #nonexactequation #explanationinenglish 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
(y^4+2y)dx+(xy^3+2y^4-4x)dy=0 #NonExact L599 @Maths Pulse - Chinnaiah Kalpana
(x^4y^4+x^2y^2+xy)ydx+(x^4y^4-x^2y^2+xy)xdy=0 #NonExact L580 @Maths Pulse - Chinnaiah Kalpana
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(xy^2-x^2)dx+(3x^2y^2+x^2y-2x^3+y^2)dy=0 #NonExact L605 @MathsPulseChinnaiahKalpana
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