Question

find yp(t) of y'' +9y=3/(sin3t), 0<t<pi/2

Answer #1

Find y as a function of t if 9y″−18y′−55y=0, y(3)=5,y′(3)=5.

3. For each of the following equations find a particular
solution yp(t).
(a) y"+4y= e^(5t)
(b) 4y"+4y'+y = 3t(e^t)
(c) y"+4y'+2y=t^2
(d) y"+9y = cos(3t) +4sin(3t)

Find y as a function of t if
9y′′−42y′+130y=0,
y(0)=7,y′(0)=5.
y(t)=

Solve the Euler Equation t^2(y'')-5ty'+9y=0, t>0

Find the length of the curve
1) x=2sin t+2t, y=2cos t, 0≤t≤pi
2) x=6 cos t, y=6 sin t, 0≤t≤pi
3) x=7sin t- 7t cos t, y=7cos t+ 7 t sin t, 0≤t≤pi/4

Find the general solution of the equation: y''+6y'+9y=0 where
y(1)=3 y' (1)=-2 and then find the particular solution.

Find the Laplace transform Y(s)=L{y} of the solution of the
given initial value problem.
y′′+9y={t, 0≤t<1 1, 1≤t<∞, y(0)=3, y′(0)=4
Enclose numerators and denominators in parentheses. For example,
(a−b)/(1+n).
Y(s)=

y''+4y=sint + u_pi(t)sin(t-pi)
y(0)=1 y'(0)=0
find the solution

Find continuous solution to following initial value problem:
y"+y= pi e^(pi-t) if t > pi
where y(0)=0 and y'(0)=1

Find the general solution of the differential equation
y′′+9y=11sec2(3t), 0<t<π6.

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