How to find the general solution of xy'-4y=e^x using the associated homogeneous equation ?

so far I've done: xy'-4y=ex xyH-4yH=0 ln|yH|=4lnx+c    x4 |yH|=Ae(x^4)  y(x)=A(x)e(x^4)   y'=A'e(x^4)+4x3A(x)e(x^4)=A'e(x^4)+4x3y x(A'e(x^4)+4x3y)-4A(x)e(x^4)=e^x

02/25/18

related rates

A 6-foot-tall woman walks at 6 ft/s toward a street light that is 18 ft above the ground. What is the rate of change of the length of her shadow when she is 16 ft from the street light? At what... more

please help solve, confused

Assume that a procedure yields a binomial distribution with 2 trials and a probability of success of 0.50. Use a binomial probability table to find the probability that the number of successes is... more

02/15/18

This questions involves youngs modulus

A mole of gold atoms are arranged in a cube. A 1 kg mass is placed on top of the cube. The interatomic spacing for gold is 10^−10 m andYoung’s modulus of gold is 1011 N/m2. Given there are roughly... more

integrate I(t)=2t^1/3

 t is time and initial capital stock Kis 25.find the capital acummulation during the time intervals [0,1] and [1,3]

synthetic division to divide

2x^3+11x^2+2x-15/x-5

01/31/18

find the exact value of the expression with drawing:

3 sin 2pi/3 - 4 cos 5pi/2

01/25/18

The power needed to move a desk 5 meters is 1200 Watts. The work calculated was 40 joules. What is the mass of the desk?

The power needed to move a desk 5 meters is 1200 Watts. The work calculated was 40 joules. What is the mass of the desk?

Exam question

The probability of the student solving Q1 is 60% . If he solves it the probability of him passing the exam is 80% , if he doesn’t then the probability of failing is 55%.After the exam the student... more

Bayes Theorem Help

Tommy is a football player who suffers an injury during the game. The team doctor looks at the injury and tells Tommy that he needs to run some tests and there is only a 20% chance he will... more

11/14/17

(a) What is the distance between the plane and the base of the arch?

A plane is flying within sight of the Gateway Arch in St. Louis, Missouri, at an elevation of 25,000 ft. The pilot would like to estimate her distance from the Gateway Arch. She finds that the... more

this is a statistics problem

P(x < 170) mean= 174 and the standard deviation = 20. I have to fine the indicated probability.  

A cubic box is completely filled with 3,375.0 kg of water. What is the length of one side of the box, in meters?

What would be the length of one side of the box, in meters?

find the probability of getting exactly 4 heads on 8 flips of a coin

I do not know how to figure this out

10/22/17

with a sample space of: 5, 6, 12,13,15,18,22,50 what is the z score of 13?

Finding z-scores 

10/13/17

How to determine if there is a limit or not in a function?

For example, when a limit approaches 0: x^2-5x+7/ x^3

The results of a test are normally distributed with a mean of 67.5 and a standard deviation of 15 ..

The results of a test are normally distributed with a mean of 67.5 and a standard deviation of 15. If a score is selected at random, then the probability that the score is between 75 and 90 is?

10/06/17

Find the equation of the line.

Let f(x)=x^2 and g(x)=(x-74)^2+27. There is one line with positive slope that is tangent to both of the parabolas y=f(x) and y=g(x) simultaneously. 

10/05/17

Volume, height and radius

sand is leaking from.the back of a dump.truck.and forming a.conical.pile on the ground. the sand is leaking at the rate of 0.7m3 per hour. if the base radius of the pile is always 0.2 times the... more

09/17/17

A basketball player is 6 ft 17 8 in tall. What is his height in centimeters? Answer in units of cm.

 A basketball player is 6 ft 178in tall.What is his height in centimeters?Answer in units of cm.

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