Solve differential equationu'-5u=ve^(-5v)

Yulia 2021-03-05 Answered

Solve differential equation u5u=ve5v

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Expert Answer

Dora
Answered 2021-03-06 Author has 98 answers

dudv5u=ve5v
dydx+Py=Q
I.F.=ePdx
=e5dv
=e5dv
=e5v
u(I.F.)=ve5v(I.F.)dv+c
ue5v=ve5ve5vdv+c
ue5v=ve10vdv+c (1)
Now find ve10vdv (by parts)
=ve10vdv[ddv(v)e10vdv]dv
=ve10v10[e10v10]dv
=ve10v10+110e10v10 (2)
from (1) and (2)
ue5v=ve10v101100e10v+c
u=(ve10v10e5v)1100e10ve5v+ce5v
u=ve5v101100e5v+ce5v

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Jeffrey Jordon
Answered 2021-10-22 Author has 2313 answers

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