Differential Equations - Coefficients Linear in Two Variables Case 1

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General Solution of a Differential Equation with Coefficients Linear in two variables and the 2 lines are intersecting

Isaiah James Maling

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Thanks sir. Meron po kaming finals exam covering all topics of DE bukas and hopefully makapasa sir. God bless po! Keep up the great work sir!

yowreesesame

Thankyou po sir napakalaking tulong po saamin ang mga gingawang lecture nyo po❤️ GBU😇

johnmarkcunanan

salamat idol, ito ngayon lesson namin sa DE

christianocray

Sir IJ tanong ko Lang po, may property po ba sa logarithm na ganito: ln(x-y)=-ln(y-x)? Kasi may isang problem ako n nasolve linear in two variables, Ang nakukuha kung particular solution ay 2(x-y)ln(x-y/4)=-y+5x-8. Pero Yung sagot sa libro ay 2(x-y)ln(y-x/4)=y-5x+8.
Thank you po Lodi!

eugineguan

bakit naging negative yung (2u-v), positive naman yun lodi?

rhandolfryanbucol

Sir pano malalaman kung intersecting or parallel?

FERREREJC

paano po nag ka C/2 sa may arctan na part?

christopherjhonvillanuevas

Sir yung book po ba ni rainville na tinutukoy niyo is yung elementary differential equations?

yuenrafael

sir pwede bang gamitin exact DE instead of vx, vy substitution ?

aiueokaya

I have a question. Pag nasa part na ng homogeneous maalin po ba sa u or v ay pede?? Diba po ginamit nyo is
V=UZ so pede din po ba U=VZ ??

johndavecusi

Idol dun sa part ng homogenous paano malalaman if v=uz or u=vz yung gagamitin?

carljomelgarcia

Sir nag u=vz po ako, final answer ko po

ln{(x+2)^2 +(y+1)^2} = 4tan^-1 (x+2)/(y+1) +c

Acceptable po ba yun since kung homogenous yung equation, iisa dapat kalalabasan mapa x=vy or y=vx isubstitute pag homogenous equation ?

yanyanramos

How about may terms sa labas ng expression boss? Sample y(x+y+1)+x(x+3y+2)?

chardgerXYZ

Ano po gamit nyong book for de? Salamat po...

cv___

Is it okay if I use u = vz instead of v = uz ??? kasi I tried using the former and may nag-iba na sign...

stanpentagon

Ano po pwedeng i let pag M is simpler?

justhushhhhhhhhh

lodi panu po malalaman kung paralle or intersecting un line?
try ko muna ba hanapin ung value ng x and y. tapos if wala ako nakuha ibig sabihin parallel?

viennerenzdungca

Pano po malaman kung anong case po sir?

sethmoises

kuya idol yung sa C po, pano po nag ka over 2?

미가사미고

Sir bakit po naging (u-2v)du.. i mean is bakit may 2 parin po yan?

blessy-mayalonzo

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