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1. Solve the given differential equation, subject to the initial conditions:
. x2y''-3xy'+4y = 0
. y(1) = 5, y'(1) = 3
2. Find two linearly independent power series solutions for each differential equation about the ordinary point x=0
Y'' - xy' - (x+2)y=o
3. Use the definition of the Laplace Transform, to find
L{e-t cosht}
4. Find f(t) if : f(t)=L-1
5. Solve : y'+y= f(t)
where: f(t) = { 1 if 0 ≤ t < 1
{-1 if t ≥ 1
Recall that if f(t) = { g(t) if 0 ≤ t < a
{ h(t) if t ≥ 1
Then f(t)=g(t)-g(t)u(t-a)+h(t)u(t-a)
6. y'(t) = cos t+
Grouped Data For grouped data of a paired population where, f is the
Tommy has a Nexus 4 that charges poorly. He placed his phone to charge,after 20 minutes the phone was 27% and after 85 minutes the phone was at 66%. Find how many percentage the p
Kelly plans to fence in her yard. The Fabulous Fence Company charges $3.25 per foot of fencing and $15.75 an hour for labor. If Kelly requires 350 feet of fencing and the installer
what is rotation
a lending library has a fixed charge for the first three days and an additional charge for each day thereafter. sam paid Rs 27 for a bookkept for 7 days while jaan paid Rs 21 for t
I've termed this section as Intervals of Validity since all of the illustrations will involve them. Though, there is many more to this section. We will notice a couple of theorems
what are these all about and could i have some examples of them please
Example 1: Multiply 432 by 8. Solution: 432 × 8 -------------- 3,456 In multiplying the multiplier in the units column to the multiplica
find dy/dx of cosx
Can you explain slope and Slope is measured as rise/run?
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