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Mathematics 15 Online
OpenStudy (anonymous):

Solve the differential equation y″ – y′ – 2 y = 0 ? (show the method to solve differential eq with constant coefficient)

OpenStudy (anonymous):

i guess we'll use substitution here ?

OpenStudy (wasiqss):

lool easly :)

OpenStudy (anonymous):

i forgot the method but i have done it by substitute y = e mx

OpenStudy (anonymous):

thanks wasiqss

OpenStudy (wasiqss):

we have to take out complimentary and particular solution right

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

y'=lambda so: \[\lambda ^{2} - \lambda -2=0\] solving : lambda = 2 and -1 solution: \[y=C _{1}e ^{2t}+C _{2}e ^{-t}\]

OpenStudy (wasiqss):

first take out factors of this equation

OpenStudy (wasiqss):

right myko

OpenStudy (anonymous):

one more thing how to write the solution when discriminant is zero , positive & negative

OpenStudy (wasiqss):

in terms of 0, like we have two roots of lamba =2, then answer will be c1e^2+c2xe^2

OpenStudy (anonymous):

ok

OpenStudy (wasiqss):

for negative iota aaajate hain

OpenStudy (wasiqss):

like in terms of sin and cos chale jaata hai

OpenStudy (anonymous):

ok wasiq

OpenStudy (anonymous):

thank you myko and wasiqss :)

OpenStudy (wasiqss):

np khocha ;)

OpenStudy (anonymous):

khocha tumhari math achi ha :P

OpenStudy (wasiqss):

haha mujhe pata hai :D teri aapi ne kafi madad ki hai :)

OpenStudy (anonymous):

nice lana is also awesome at maths

OpenStudy (wasiqss):

yeh she is :)

OpenStudy (anonymous):

or khocha tum chay pia gi?

OpenStudy (wasiqss):

lol elaichi wala :)

OpenStudy (anonymous):

hum tum ko badam wala chay peli ga

OpenStudy (anonymous):

:P

OpenStudy (wasiqss):

aala aala khocha khush hua , ab khocha ko medal toh dai :D

OpenStudy (anonymous):

oh abhi dati ha tum ko medal :P

OpenStudy (wasiqss):

aala aalah :D

OpenStudy (anonymous):

wallah ya tumhari medal :P

OpenStudy (anonymous):

chlo khocha hum tum ko programming seekhati ha

OpenStudy (wasiqss):

seekha seekha wallah :)

OpenStudy (anonymous):

<?php echo 'i <3 khocha :P'; ?> output: i <3 khocha :P

OpenStudy (wasiqss):

khoocha ka dil garden gardn hogaya :D

OpenStudy (anonymous):

lol wallah coding faluda ha

OpenStudy (anonymous):

chlo khocha hum chalti ha :P

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