Question

уу. OSove : үү! + 2 xy=x ұID=3 ология и х угод= 4 зу- ау- ұ?уі ұ024 @ y= 'hy (1)=3 сигі тірг, у.х GIVED! (83 yS=Sxy) dx+(p?p=5«ely=8 10 SYOW THAT THE EQUATION IS EXACT ) SOLVE THE EQUAT101

Answer 1

xºy't D xy = x3 ,Y)=3 y'u d y = x. , QCM)= * If dr = 2log x _ x² PEQ. y. 1.f = fx. I.f dx +C. 7.x² = {x}dx + c 12 Y(u) =3 , 3=4+C => c=4 1a) yli?", 400)=4. y²64 + 8 cys by.c8 miny= 4y=2948.4C9-4)2(-4) *(4-4)(y-2) CamScanner

de los tem St Curta ) dy = {x?dx. à (longly-ti) – log(4-2)) = 33 + C. å long (erhu)) = +C. à (log (*))= 0+0 C=0 á (log(5:14) = x2 +0 Y(0)=4 ., 9-2 9-4 = (4-2) Scanned With CamScanner

3). y'- Ž y = x?y? , Y(u) = 4. M = x2 P 2 1 Q ==>? due - Ž v = x? - dy + { v==x2 CS Difuzino ždx x2 itho CamScanner

If = SI Q dx7c 7. x2 = x?(-x%dz +C 4²0 = - 2 +C =) U = 2 3 4 1 2 - Scanned with. CamScanney - at 50 5x2 --x5f5c I

Y()=4 , 4 = 145chure = -4+20C = Sun 90-3 y=au clo 4U cu de se ale tu. da menye= x +inte da udo = le lugn + C 3) e lugar te 401=3 = = 0+ 1 y2 = 2zlogx + 9221 Scanned with CamScanner

(5) 22 (x2y3 5xy) dla + (y3x3, 5x2) dy=o M= x2y3 5xy at the N = y335x? 3x?g258 IN = 3x²y²5 Om du =) Sotukio Exact. XX X x Scanned with CamScanner