Question 5: Solve the wave equation initial boundary problem by the method of separation of variables PDE : 81 uzz = Utt; t > 0, 0 < x < 7, ICs: u(0, т) — 0, и (0, г) — 4г(7 — т), 0<т<7, BCs : u(t, 0) = 0, u(t,7) = 0, %3D t> 0.

Q: if two new rabbit are put in a pen, How many rabbits will be in the pen after one year? give the…

A: GivenTotal pairs (male and female) of rabbits put in pen initially =1 One pair of rabbit give birth…

Q: a total of 25000is to be invested in stock and bonds. if the amount invested in bonds is four times…

A: Let's find amount invested in binds and stocks.

Q: 2.x²y"+xy'–3y= 0,x>0

A:

Q: Megan has been planting young trees in her garden. One maple tree is 66 centimeters tall and is…

A: Solution

Q: Sara is 6 years older than her brother. In 5 years she wil be twice as old as her brother. What is…

A: suppose sara age=x     her brother age=y x=6+y.........1 in 5 years (X+5)=2(y+5)

Q: A company produces 128000 cases of soft drink annualy. It costs 1 dollar to store 1 case for 1 year…

A: Topic = Algebra

Q: A gardern is 4 feet longer than it is wide. If both width and length are increased by five feet and…

A: Let w be the width of the old garden. Then the length of the old garden is L = w + 4 The the area of…

Q: A two digit number is four times the sum and three times the product of its digits .Find the number

A:

Q: Tom and Henry had the same number of marbles. Tom gave away 1/2 of his marbles. Henry gave away 3/4…

A:

Q: the sum of the two odd whole numbers is always even and its product is always odd? find the solution

A: Let the 2 odd nos. be 3 &amp; 5.

Q: Jerry has three pieces of string. The total length is 107 cm. The sum of the two longer pieces is 89…

A:

Q: solve the following 8x-4=10x+6

A: To determine the value of x.

Q: The number of houses that can be served by a water pipe varies directly as the square of the…

A: Given that, The number of houses that can be served by a water pipe varies directly as the square of…

Q: The sum of the two-digit number is 9. The tens digit is three less than three times the units digit.…

A: Lets the ten's digit be x ,and let unit's digit be y Then the number formed is 10x+y As the sum of…

Q: If the third of the three consecutive integers are increased by 14, it is equal to twice the first,…

A:

Q: The sum of the two-digit number is 8. The unit digit is four less than five times the tens digit.…

A: Let  'ab' denotes a two digit number where 'b' is unit digit and 'a' denotes tens digit. Given that…

Q: Alma can do a job in 6 days. Rachel can do the same job in 12 days. How long will it take the two…

A: given that,  Alma can do a job in 6 days,Rachel can do the same job in 12 days. how long will it…

Q: Create three equations from the stated problem and then solve. The sum of three numbers is 14. The…

A: In the first equation: The sum of three number is 14. Let the three number be x, y and z. So, the…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.