Given y' = 1 + (t – y)?, 2sts 3, y(2) = 1 with h= 0.5. Then using Taylor's method of order 2, the approximation of the solution at t, Select one: а. 1.875 b. 2.125 с. 1.75 26 d. 2.375

Q: 13. Solve: xCsc² ydy- Cotydx=0, x = T 6. a. xCoty = 7/3 C. Coty = Tx b. xCscy = T/2 d. x = ACscy

A: The given differential equation is xcsc2ydy-cotydx=0, xπ6=π.

Q: A car’s velocity at time t in hours is given by v(t) = 30 − 5t mph. Approximate the distance…

A: Since solve the first question for you. If you want any specific question to be solved then please…

Q: Q1. (4 marks) Find the general solution of the Cauchy-Euler equation: ry - 3ry + y = , 1>0.

A: Thanks for the question :)And your upvote will be really appreciable ;)

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: Choose the correct answer     If A = {x: 0 <x <2} and B = {y: O <y <1/2) Find C = AU B and D = A…

A: Provided information is ; A = {x: 0 &lt;x &lt;2} and B = {y: 0 &lt;y &lt;1/2) we know that ; AUB =…

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: Without solving, classify the following equations as to: separable, homogeneous (the gree), exact,…

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: a) L{te3t – sint + cost} =? 1 =? b) L-'s-2)(s2+25-5)

A: a) We have to find ℒte3t-sint+cost

Q: find the length of y=√x² from to += 12 x = formula 3 L = So 9 Ht( f (x) J² dx

A:

Q: 1. Find the ODE that have the following solutions: y₁ = e-√5x₁ רור Jz = xe-VSx

A:

Q: T(°C): -12.0 10.0 38.0 µ(cp): 50.1 10.0 4.9 a) Find the general solution: µ = f(T), using Newton's…

A: A table is given with values for μ for different values of temperature. (a) The objective is to find…

Q: a) Given: y = (x² + e*)(x + 4) derive dx

A:

Q: Newton-Raphson method.

A: Given: The volume and diameter of the liquid in the tank shown in the figure. And the liquid height…

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

A: Given data: Volume of the spherical tank is V=πh23R-h3=27 m3 V= volume h=depth of water in tank R=…

Q: flowing into the funnel at the rate of 12 in.^3/sec and out at the rate of 4

A: Solution

Q: B. ty – (t+ 1)y + y = t?

A:

Q: The upward velocity of a rocket can be computed by the formula below. Compute for the time t at…

A: The objective of the question is to find the time 't' at which the velocity of the rocket is 1450m/s…

Q: Find the distance d between z1 = (8+ 8i) and z2 = (-8+ 8i).

A:

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.