iven y' = y cost, Osts1, y(0) = 1 and N =5. Then using Euler's method, the approximation of e solution at t=0.4 ( use 4 digit rounding) elect one: D a. 1.4352 b. 1.4399 c. 1.2216 d. 1.2145

Q: Use a numerical solver and Euler's method to obtain a four- decimal approximation of the indicated…

A:

Q: Given, P(A or B) = 0.80, P(A') = 0.48 and P(A and B) = 0.20 Find P(B)?

A: P(A∪B) = 0.80P(A') = 0.48P(A∩B) = 0.20P(B) = ?

Q: ) In(7)+ln(2– 4x²) = In(14) c) e2a – 5e" + 6 = 0

A: Here we need to find the value of x in the given logarithmic equation, ln7+ln(2-4x2) =ln(14)

Q: You are designing a spherical tank to hold water for a small village. The volume of liquid it can…

A: Consider the provided question The volume of liquid it can hold can be computed as:

Q: . You are told that there is a function f whose partial deriva- tives are f(x, y) = x + 4y and fy(x,…

A:

Q: 3. A pomegranate is tossed upwards at a speed of 40 ft/sec. The pomegranate starts at 4.5 feet above…

A: Given,  Initial height = 4.5ft Initial speed = 40 ft/sec

Q: x-μ Evaluate the formula t= S √n when μ = 123, n = 13, x= 119, and s = 9. = (Round to three decimal…

A: Given                evaluate the formula t =x¯-μsnaluate the formula               where  μ =123,…

Q: Solve the following: cInc y(1+V3+y2)y' with y(1) = -1. Do not solve explicitly for y. That is, you…

A:

Q: The windchill index announced during the winter by the weather bureau measures how cold it "feels"…

A:

Q: ii) Find the value of a, correct to two decimal places, such that Pr(Y s a) = 0.7

A: Given data: Find the value of a, correct to two decimal places, such that Pr(Y ≤ a) = 0.7

Q: Calculate 4x dx, given the following. 4 8 √x 4 8 dx = 24 8 √4x dx = 7 Sx²dx 4 = 93 8 [x²dx 7 169 3

A: It is given that

Q: Given b = –.35 and a = 1.01, what is Y' for X = 52?

A: b = -0.35 a = 1.01 for x = 52 y = ?

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.