Lecture-9 METHODS TO FIND INTEGRATING FACTORS
{"Image DocumentName": "Lecture-9 METHODS TO FIND INTEGRATING FACTORS", "Image ImageDescription": "METHOD 4: If there exists a continuous single variable function f(x) such that \u2202M/\u2202y-\u2202N/\u2202x=Nf(x) then e\u222bf(x)dx is an integrating factor of Mdx + Ndy = 0. Example 1:2xydy-(x2+y2+1)dx=0 is non-exact and. \u2202M/\u2202y - \u2202N/\u2202x=N(-2/x). Here I.F=1/x2. Example 2:(3xy-2ay2)dx+(x2-2axy)=0 is non-exact and \u2202M/\u2202y - \u2202N/\u2202x=N(1/x). Here I.F=x. L1-3:", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}