Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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ƏM 5) For the non exact equation Mdx + Ndy = 0, if ÷(N - ) is a function of y alone, say fV) M \ax then is an integrating factor. 6) The general solution of an ODE y(xy Sin(xy) + Cos(xy))dx + x(xy Sin(xy) – Cos(xy))dy = 0, is 7) If the equation + Px = Q, where P & Q are functions of y, then integrating factor = %3D dy 8) is the solution of an ODE x+ y = y² log(x). 9) The solution of an initial value problem y3 +y = x; y(1) = 2 is 10) The equation x²p² + xyp – 6y² = 0, where p = " is solvable for
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Transcribed Image Text:ƏM 5) For the non exact equation Mdx + Ndy = 0, if ÷(N - ) is a function of y alone, say fV) M \ax then is an integrating factor. 6) The general solution of an ODE y(xy Sin(xy) + Cos(xy))dx + x(xy Sin(xy) – Cos(xy))dy = 0, is 7) If the equation + Px = Q, where P & Q are functions of y, then integrating factor = %3D dy 8) is the solution of an ODE x+ y = y² log(x). 9) The solution of an initial value problem y3 +y = x; y(1) = 2 is 10) The equation x²p² + xyp – 6y² = 0, where p = " is solvable for
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