## annas 3 years ago Solve the differential equation y″ – y′ – 2 y = 0 ? (show the method to solve differential eq with constant coefficient)

1. annas

i guess we'll use substitution here ?

2. wasiqss

lool easly :)

3. annas

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

4. annas

thanks wasiqss

5. wasiqss

we have to take out complimentary and particular solution right

6. annas

yes

7. myko

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

8. wasiqss

first take out factors of this equation

9. wasiqss

right myko

10. annas

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

11. wasiqss

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

12. annas

ok

13. wasiqss

for negative iota aaajate hain

14. wasiqss

like in terms of sin and cos chale jaata hai

15. annas

ok wasiq

16. annas

thank you myko and wasiqss :)

17. wasiqss

np khocha ;)

18. annas

khocha tumhari math achi ha :P

19. wasiqss

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

20. annas

nice lana is also awesome at maths

21. wasiqss

yeh she is :)

22. annas

or khocha tum chay pia gi?

23. wasiqss

lol elaichi wala :)

24. annas

hum tum ko badam wala chay peli ga

25. annas

:P

26. wasiqss

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

27. annas

oh abhi dati ha tum ko medal :P

28. wasiqss

aala aalah :D

29. annas

wallah ya tumhari medal :P

30. annas

chlo khocha hum tum ko programming seekhati ha

31. wasiqss

seekha seekha wallah :)

32. annas

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

33. wasiqss

khoocha ka dil garden gardn hogaya :D

34. annas

lol wallah coding faluda ha

35. annas

chlo khocha hum chalti ha :P