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



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annas
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i guess we'll use substitution here ?

wasiqss
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lool easly :)

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

annas
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thanks wasiqss

wasiqss
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we have to take out complimentary and particular solution right

annas
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yes

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

wasiqss
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first take out factors of this equation

wasiqss
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right myko

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

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

annas
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ok

wasiqss
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for negative iota aaajate hain

wasiqss
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like in terms of sin and cos chale jaata hai

annas
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ok wasiq

annas
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thank you myko and wasiqss :)

wasiqss
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np khocha ;)

annas
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khocha tumhari math achi ha :P

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

annas
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nice lana is also awesome at maths

wasiqss
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yeh she is :)

annas
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or khocha tum chay pia gi?

wasiqss
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lol elaichi wala :)

annas
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hum tum ko badam wala chay peli ga

annas
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:P

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

annas
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oh abhi dati ha tum ko medal :P

wasiqss
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aala aalah :D

annas
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wallah ya tumhari medal :P

annas
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chlo khocha hum tum ko programming seekhati ha

wasiqss
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seekha seekha wallah :)

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

wasiqss
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khoocha ka dil garden gardn hogaya :D

annas
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lol wallah coding faluda ha

annas
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chlo khocha hum chalti ha :P