All categories

3 years ago

Y''-4y=cosx find general solution.

Mathematics

1 answer:

Anastasy [175]3 years ago

8 0

Answer:

Step-by-step explanation:

$y''-4y=cosx$

The auxialary equation and solutions are as follows:

$m^2-4=0\\m=2,-2$

General solution is

$y=Ae^{2x} +Be^{-2x}$

Right side =cosx

Particular Integral

= $\frac{cosx}{-1-4} =\frac{-cosx}{5}$

Hence full solution is

You might be interested in

Please help with number 3 i dont understand it

prisoha [69]

I believe the answer is A.

Absolute value best proves my answer.

Absolute value is how far a number is from zero.

6 0

3 years ago

Read 2 more answers

Determine the number of terms in the sequence: 5240,4365, 3490, 2615, ..., -2635

MakcuM [25]

Answer:

I believe the number of terms are 10

Step-by-step explanation:

5 0

3 years ago

Johnny says that rolling a number cube twice and getting a 6 both times is an example of dependent events because getting a 6 on

hjlf

Answer:

This is not correct

Step-by-step explanation:

He could have rolled a 6 on the second roll without rolling a 6 on the first roll, the first roll had ZERO effect on the second one to be able to change what he would roll

8 0

2 years ago

Read 2 more answers

1. John earns $10 per hour for any work up to 40 hours. For any time over 40 in a week, he receives 1.5 times his normal pay. Ho

yanalaym [24]

Answer:

1. 520

2. 568.125

Step-by-step explanation:

10 per 40 hours + 1.5 overtime

1.5 overtime = 10(1.5) = 15

10 (40) + 15 (8)

= 400 + 120

= 520

11.25 per 40 hours + 1.5 overtime

1.5 overtime = 11.25(1.5) = 16.875

11.25 (40) + 16.875 (7)

= 450 + 118.125

= 568.125

8 0

1 year ago

Grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height. how high

bezimeni [28]

Given that grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height.

So if D is the diameter and h is the height of the conical pile then we can write:

D=3h

We know that diameter = 2r, where r is the radius

2r=3h

$r=\frac{3h}{2}$

Volume of conical pile is given by formula

$V=\frac{1}{3}\pi r^2h$

Given that volume is 1110 cubic feet.

Now plug the values of Volume and r into equation of volume

$1110=\frac{1}{3}\pi (\frac{3h}{2})^2h$

$1110=\frac{1}{3}\pi\cdot\frac{9h^2}{4}\cdot h$

$1110=\pi\cdot\frac{3h^3}{4}$

$1110\cdot\frac{4}{3\pi}=h^3$

$471.098631552=h^3$

take cube root of both sides

7.78103342467=h

Hence height is approx 7.78 feet.

7 0

3 years ago