Find a suitable integrating factor o(a) or o(y), and use it to find the general solution...

 

Transcribed Image Text:

Find a suitable integrating factor o(a) or o(y), and use it to find the general solution of the differential equation. (a) 3yda + dy=0 (b) ydx + xln z dy = 0 (c) y ln y dr + (x + y)dy = 0 (d) dx + (x-e-")dy = 0 (e) dx + zdy=0 (f) (ye+1)dx + (ce)dy = 0 (g) cos y dx [2(x - y) sin y + cos y}dy = 0 (h) (1-x-z)dx + dz = 0 (i) (2 + tan² x)(1+e)da-etan z dy = 0 () (3u² sinh 3v-2u)du +3u³ cosh 3v dv = 0 (k) cos z dx + (3 sina + 3 cos y sin y)dy - 0 (1) (y ln y + 2xy2)dx + (x + x²y)dy = 0 (m) (3x 2p)dx - x dp = = 0 (n) y dx + (x²-x)dy = 0 (0) 2xy dx + (y²-x²)dy = 0 - Find a suitable integrating factor o(a) or o(y), and use it to find the general solution of the differential equation. (a) 3yda + dy=0 (b) ydx + xln z dy = 0 (c) y ln y dr + (x + y)dy = 0 (d) dx + (x-e-")dy = 0 (e) dx + zdy=0 (f) (ye+1)dx + (ce)dy = 0 (g) cos y dx [2(x - y) sin y + cos y}dy = 0 (h) (1-x-z)dx + dz = 0 (i) (2 + tan² x)(1+e)da-etan z dy = 0 () (3u² sinh 3v-2u)du +3u³ cosh 3v dv = 0 (k) cos z dx + (3 sina + 3 cos y sin y)dy - 0 (1) (y ln y + 2xy2)dx + (x + x²y)dy = 0 (m) (3x 2p)dx - x dp = = 0 (n) y dx + (x²-x)dy = 0 (0) 2xy dx + (y²-x²)dy = 0 -