2. Half-life of a DNA of an extinct moa is 521 years. A 1 mg sample was estimated to be 6000 years old. Determine the initial amount of the DNA sample.

Q: metal Bar at a temperature of 120°F is placed in room temperature 10F, If after 20 mins, the…

A: Given: T1=temperature of the metal bar, 120°FT2=room temperature, 10°FT=temperature of the metal bar…

Q: 2y" – 3y +y –0 4y" – 9y – 0

A:

Q: du d'u +5 d'u -2 dr5 - 1o du + 5u : 0 drs dr

A: Image is attached with detailed solution.

Q: What is the general form and standard form of exact differential equations?

A: Differential equation: A equation is that the linear combination of the variable quantity and…

Q: Consider the differential equation.

A: Solution: The objective is to find r(t)

Q: Explain the properties of ordinary differential equations.

A: We have to solve

Q: (x + 1) + y = lnx, y(1) = 10 dy dx

A:

Q: 5. Let y = C(x) be the cost, expressed in euros, of manufacturing "x" units of a given product. The…

A: Let be the cost, expressed in euros, of manufacturing units of a given product. The rate at which…

Q: (w³ + wz² − z dw + (z³ +w²z − w)dz = 0 3 3 - -

A:

Q: tan x dy +y sin x dr = 0, when x = 0, y = | O y (3- cos 21) = 2 O y (cos 2x O y° (2 – cos 2x) = 1…

A:

Q: (y² + 7xy + 16x²)dx + x²dy = 0; when x = 1,y = 1

A:

Q: sin x sin y dx + cos x cos y dy = 0 %3D

A:

Q: 3y(x² – 1)dx + (x³ + 8y – 3x)dy = 0; when x = 0,y = 1 %3D

A: We solve the given initial value problem

Q: y" – y' – 6 y = sin t + 3 cos t

A: The given equation is a second order linear non homogeneous differential equation with constant…

Q: (6x + y²)dx + y(2x – 3y)dy = 0 -

A:

Q: 2(у — 4x?)dx + хӑу 3D 0

A:

Q: B. Solve the problems related to the application of First Order Differential Equations. 2.…

A:

Q: y(7) – 3y(6) – 4y(3) = 0 6

A: We have to solve this differential equation  y(7) - 3y(6) - 4y(3) = 0.

Q: 2(2x? + y?)dx – xydy = 0 y = 1; x = 1

A:

Q: Obtain the general solutions given the differential operators e. (D + 7)é y = 0

A:

Q: Evaluate the given Laplace transform. Do not evaluate the convolution integral before transforming.…

A: Use the properties of Laplace transformation to solve the given question. First simplify the term to…

Q: у %3D (2х + ylnу)у' ; у(1)%3D1

A: Differential equations

Q: a certain sum of money draws interest compounded continously if a certain time at acceleration time…

A: As per the question, we consider a certain sum of money that is invested in an account with…

Q: y(4) – 16y" = e¯* + sin3x y

A: find complementary function and particular integral and add them

Q: (x–x²ye")dy – dx = 0

A: