## Question

###### In Problems 5-6, determine an Integrating Factor for the given DE. 5. (2x + (x2 +...

In Problems 5-6, determine an Integrating Factor for the given DE. 5. (2x + (x2 + y2) cotx]dx + 2ydy = 0. 6. x ydx + y(x3 + 1)dy = 0. 7. Use Euler's Method with the specified Step Size (h), to determine the solution to the given IVP at the specified point. V = 22 + y2, y(1) = 2, h = 0.2; y(1.4)~?

## Answers

P: 2 azy ja only (2x+(x2 + y2) cot a. ]dx + 2ydy so 2x + (x² + y2) cota , a = 24 29 25 (2x + 2?cot x + yłcorn) 2ycora 히을 251 2ycotz-0 ar ap ay 29 gre j -] cotse. f be calculated as Integrating factor can i des cotsi u dri du cota de Intel in Isinal u sinasily dra ty (2²+1) dy zo э?у; a=3(21) . О. а2 де. he бе 325 дах бе (2 -2 ) = (--- 9915) de Бе ) зуг } 9 Rico (aj f = factor negrating dy dy 7 (4) - 3 dy 35-) y ја - (с - 3 ), Inu 39 — Iny 39— log е. u сx² + y2 f(a,y) G de la da ៦, = Y; + hif (1,9; ) iti = [1,12,14] y Co.) 3 2 y (1:2) 3 y CV+ 0.2x (1?+ 2?) 2 t 0.2x er & 3 ( 12² + 2) 3 y (1.4) = y(1:2) + 0.2% 3 isar + 0.2% ( GAT 10:44) y(1.4) 1? S. 088

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