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