Answer:

Step-by-step explanation:
We are given that linear differential equation

Auxillary equation


C.F=
P.I=
P.I=
P.I=
and
where D square is replace by - a square
P.I=
Hence, the general solution
G.S=C.F+P.I

Answer:
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Step-by-step explanation:
First, multiply each side by 5
6(x+1) = 25x-15
distribute the 6
6x+6=25x-15
put the x's on the same side and the other numbers on the opposite side
21=19x
Divide by 19 to isolate the x
21/19=x
Step-by-step explanation:
Distance = (Rate)(Time) So, Time = (Distance)/(Rate)
Time at slower speed = Time at faster speed + 3
36/x = 36/(x+6) + 3
Multiply the equation by the LCD, x(x+6) to obtain:
36(x+6) = 36x + 3x(x+6)
36x + 216 = 36x + 3x2 + 18x
3x2 + 18x - 216 = 0
x2 + 6x - 72 = 0
(x + 12)(x - 6) = 0
x = -12 or x = 6
Since x can't be negative, x = 6 mph