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Solve the differential equation (D^3+D^2+D+1)y=Sinx
Solve the initial value problem
y"-3y'-10y=0, y'(0)=1, y'(0)=2
1)The rate of cooling of a liquid in a room is given by the differential equation dP/dt =-k(P-P0),where is the temperature of the room. Show that P = Ae^-kt + P0,where is the cooling rate constant and is the integral constant.
A hot coffee at is left in a room at 20°C
(a) Find the cooling equation using this value.
(b) It is found that after 20 minutes in the room, the temperature of coffee has decreased by 20°C. Determine the temperature of coffee after 30 minutes.
2
a)solve dy/dx - 3ye^3x =y. Given that y=1 when x=0
b)find the solution of sinx dy/dx + y cosx = sin^3 x cosx
Find the solution of
(D^2-4D+4)y=12x+2e^(3x)
Find the solution of
(D^4+2D^3-6D^2-16D-8)y=0
Find the solution of
(D^3+2D^2+D+2)y=0
Find the solution of
(D^3+3D^2-4)y=0
Find the Solution of
(D^3-3D^2-3D+1)y=0
Show that y=c1epower x +c2e power 2x is the general solution of y"-3y'+2y=0 on any interval and find the particular solution for which y(0) =1
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#339914 on Dec 2023