Question

please solve (d^2+1)y=e^-1+cosx+x^3+e^xsinx

Answer 1

for what?

Answer 2

\[\large (D^2+1)y=e^{-1+\cos x}+x^3+e^x\sin x\]

like this ?

Answer 3

lol good luck with that

Answer 4

(D^2 +1)y=e^−x+cosx + x^3 +e^x sinx

Answer 5

\[\large (D^2+1)y=e^{-x}+\cos x+x^3+e^x\sin x\]

like this ?

Answer 6

yes my friend u r right. pls help me with ths

Answer 7

Hi ganesh r u thr?

Answer 8

I think general solution should be straight forward right ?
for particular solution you may use superposition

Answer 9

\(r^2 + 1 = 0 \implies r = \pm i \)
the general solution would be : \(y = c_1 \cos x + c_2 \sin x\)

use superposition for finding the particular solution

Answer 10

for example : \(e^{-x} \) gives you \(\large \dfrac{e^{-x}}{(-1)^2+1} = \dfrac{e^{-x}}{2}\)

Answer 11

similarly find the particular solutions for each of the other terms : cosx, x^3 and e^xsinx

then add them up

Answer 12

yep im lost