$MathMaster logo$

MathMaster

Home
general
solution of the equation y 39 39 y 39 6y 0

Question

Solution of the equation y'' - y' -6y = 0

225

likes

1124 views

Answer to a math question Solution of the equation y'' - y' -6y = 0

$Expert avatar$

4.8

116 Answers

Solve linear ODE $:{\quad}y=c_{1}e^{3t}+c_{2}e^{-2t}$

$y=c_{1}e^{3t}+c_{2}e^{-2t}$

Frequently asked questions (FAQs)

Find the measure of angle A in a triangle with sides of length 10, 15, and 20. Equation: sin(A)/10 = sin(50)/15

+

What is the sine of an angle in a right triangle if the opposite side measures 3 and the hypotenuse measures 5?

+

Math Question: What is the derivative of f(x) = 3x^4 - 2x^3 + 5x^2 - 7x + 1?

+

New questions in Mathematics

How to find the value of x and y which satisfy both equations x-2y=24 and 8x-y=117

what is 3% of 105?

The profit G of the company CHUNCHES SA is given by G(x) = 3×(40 – ×), where × is the quantity of items sold. Find the maximum profit.

A company is wondering whether to invest £18,000 in a project which would make extra profits of £10,009 in the first year, £8,000 in the second year and £6,000 in the third year. It’s cost of capital is 10% (in other words, it would require a return of at least 10% on its investment). You are required to evaluate the project.

6. Among 100 of products there are 20 rejects. We will randomly select 10 of products. The random variable X indicates the number of rejects among the selected products. Determine its distribution.

An electrical company manufactures batteries that have a duration that is distributed approximately normally, with a mean of 700 hours and a standard deviation of 40 hours. Find the probability that a randomly selected battery has an average life of less than 810 hours.

Answer the following questions regarding the expression below. 0.1 (a) Write the number as a fraction.

The actual length of an object is 1.3 m . If the blueprint uses a scale of 1 : 12 , what is the length of the line on the drawing?

Identify a pattern in the list of numbers.Then use this pattern to find the next number. 37,31,25,19,13

Let f(x) = x² − 1. Find the equation of the tangent line to the graph of f at the point x0 = 2.

3. A rock is dropped from a height of 16 ft. It is determined that its height (in feet) above ground t seconds later (for 0≤t≤3) is given by s(t)=-2t2 + 16. Find the average velocity of the rock over [0.2,0.21] time interval.

Your boss asks you to plan the sample size for a randomized, double-blind, controlled trial in the clinical development of a cure for irritable bowl disease. Current standard treatment shall be compared with a new treatment in this trial. The S3-guideline of AWM demonstrated a mean change of the summary score of the validated health related quality of life questionnaire at 8 weeks of 16 with standard deviation 23 under standard treatment. You quote the drop-out rate of 11% from literature (previous phase of clinical development). Your research yielded a clinically important effect of 4 that has been found to be the Minimal Clinically Important Difference (MCID). In order to demonstrate superiority of the new treatment over standard of care, you assume that the change in of the summary score of the validated health related quality of life questionnaire follows a normal distribution, and that the standard deviation is the same for both treatments. How many patientes would one need to recruit for the trial to demonstrate the clinically interesting difference between treatments at significance level 5% with 95% power?

Next%C3%B3n%2C+we+are+given+a+series+of+Tri%C3%A1angles+Right%C3%A1angles+%3Cbr%2F%3Ey+in+each+one+of+them+ are+known+2%28two%29+measurements+of+sides.+%3Cbr%2F%3Elet's+determine+all+trigonom%C3%A9tric+ratios.

Show work on 4108 divided by 4

find missing measure for triangle area = 48 m square base = 10m heaighy = ? m

Nancy is a waitress at Seventh Heaven Hamburgers. She wants to estimate the average amount each table leaves for a tip. A random sample of 5 groups was taken and the amount they left for a tip (in dollars) is listed below: $11.00 $8.00 $6.00 $3.00 $7.00 a.) Find a 90% confidence interval for the average amount left by all groups. (*round to the nearest cent*) $ < μ < $ b.) If the sample size were larger, with everything else remaining the same, would the margin of Error increase or decrease? Decrease Increase c.) If the Confidence level were 95% instead of 90%, would the range (size) of the Confidence Interval be larger or smaller? Larger Smaller

A company dedicated to the manufacture of shirts sells the units at a price of $40, the cost of each shirt is $24, a commission is paid for the sale of a unit of shirt of $2 and its fixed costs are $3500 Determine the marginal contribution

4m - 3t + 7 = 16

Two trains leave stations 294 miles apart at the same time and travel toward each other. One train travels at 95 miles per hour while the other travels at 115 miles per hourHow long will it take for the two trains to meet?

Slope (7,3) and (9,5)