1)Solve the following nonhouganeous equation i)
(du)/(dt)+au=e^(-at)
ii)
(d^(2)u)/(dt^(2))+u=cost
iii)
(du)/(dt)+a(u-T)=0
Solve the following initial value problems. a)
u^(')-2u=0,u(0)=1
b)
u^(')+2u=0,u(0)=1
c)
u^('')+4u^(')+3u=0,u(0)=1,u^(')(0)=0
d)
u^('')+g_(u)=0,u(0)=0,u^(')(0)=1
10) Solve the following inhoigeneneaus preblews with zero initial conobtions. a)
u^(')+au=1
b.)
u^('')+u=t
c)
u^('')+4u=sin(t)
d)
u^('')+4u=sin(2t)
e)
u^('')+2u^(')=1-e^(-t)
f)
u^('')-u=1

Question

1)Solve the following nonhouganeous equation i)

(du)/(dt)+au=e^(-at)

ii)

(d^(2)u)/(dt^(2))+u=cost

iii)

(du)/(dt)+a(u-T)=0

Solve the following initial value problems. a)

u^(')-2u=0,u(0)=1

b)

u^(')+2u=0,u(0)=1

c)

u^('')+4u^(')+3u=0,u(0)=1,u^(')(0)=0

d)

u^('')+g_(u)=0,u(0)=0,u^(')(0)=1

10) Solve the following inhoigeneneaus preblews with zero initial conobtions. a)

u^(')+au=1

b.)

u^('')+u=t

c)

u^('')+4u=sin(t)

d)

u^('')+4u=sin(2t)

e)

u^('')+2u^(')=1-e^(-t)

f)

u^('')-u=1

Accepted Answer

Expert Answer to -   1)Solve the following nonhouganeous equation i) (du)/(dt)+au=e^(-at) ii) (d^(2)u)/(dt^(2))+u=cost

Answer

Solution for -   1)Solve the following nonhouganeous equation i) (du)/(dt)+au=e^(-at) ii) (d^(2)u)/(dt^(2))+u=cost

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This an additional answer to -   1)Solve the following nonhouganeous equation i) (du)/(dt)+au=e^(-at) ii) (d^(2)u)/(dt^(2))+u=cost

(Solved): 1)Solve the following nonhouganeous equation i) (du)/(dt)+au=e^(-at) ii) (d^(2)u)/(dt^(2))+u=cost ...