TUTORIAL HOMOGENEOUS & LINEAR EQN.pdf - ORDER A.D?HA...

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33 FIRST ORDE R O'D,E-HOMOGENEOUS EQUAT'ONS TUTORIAL 33 1,. Solve the following differential equations' ^\ qY-x- 2Y aldxx b) (x'* l)* = c) 2xY* =4a2+3f d) 2tl=1.(I)' e) (xY+ ORDER A.D.?HA the differer the particule thatY=i ihe differel if:e general xY -* + y
3. Find the general soluiion of the first order fl = #w 1'y =
5. Solve the differential + y''
6. Solve the first order homogeneous differential x2 - Y2
O. D. E. HOMOG ENEOUS EQUA I/ONS MAT235 thedifferentiatequation *=+f,giventhatwhen x = 2,y = 1. &e particular solution of the differential equation xy dy _ { 2f * 9f ) dx = 0, tthat y = 3 when x = 1 thedifferentialequation (2x - Sy)dx + (4x _ y)dy = 0 lfie general solution of the homogeneous first order differential equation Cy-(3xy+t')dx=0 theequation[*"o.'tl v]a^ * xdy=0 withtheconditiony =;when x =1.

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