Consider the initial value problem y = sin(лx) + Y y(3) = = 2 3' Jse Euler's Method with five steps to approximate y(5) to at least two decimal places (but do not round intermediate results). (5)~ help (numbers)

Q: Find y'. y = (4x° + 9) (2x7 - 4) OA. O A. 80x° + 126x° – 48x O B. 16x° + 126x° – 48x? O C. 16x° +…

A: y = 4x3 + 92x7- 4y' = ?

Q: find the seril solution of the equation y``+  4xy = 0  at the neighborhood of the  point  x0 = 0

A:

Q: y = e"(1 – y²), y(0) =

A: We will find out the required solution for given differential equation.

Q: The function y = ae* +be2x, is the solution of the following IVP у"- Зу'+ 2у %3D0, у(0)-7, у'(0)-7.…

A: We have to solve given problem:

Q: a) (3xy - y' + 2x) dx + (2xy 3xy + 1) dy = 0, y(- 2) = b) (ye* + 2e* + y²) dx + (e* + 2xy) dy = 0,…

A: A differential equation of the form M dx+N dy=0 is said to be an exact differential equation if it…

Q: 5+2x+x2 Find y' if y = 2x 243x/2,3x -1/2 -1/2 1/2, 1/2

A: Topic-differentiation

Q: x' y' 7x + 6y ||||

A: We have to find the value of x(t) and y(t).

Q: 5.) You can use technology for this problem, keep calculations accurate to at least 10 decimal…

A: Given differential equation is y' = x2y,   y0=1,  h=0.1 Take   fx, y= x2y  then y' =f x, y initial…

Q: Choose the correct answer If x2 + y2 = 9, then y'=...  -y/x  y/x  -x/y  x/y

A: We have to find y'

Q: y = xy' – y* + 1 find general solution and particular solution.

A: Given, We have to find general and particular solution for it. Working:

Q: What was the 1-hour growth factor for the bacteria's mass?

A: NOTE: According to guideline answer of first three subpart can be given, for other please ask in a…

Q: Find the solution of the D.E. xydx - (x? + 3y) dy = 0 Show your solutions on a separate sheet of…

A: Given differential equation is xydx−x2+3y2dy=0....1. We have to find the solution of the given…

Q: 3 (1 + t?) y' = 2ty (y³ – 1) -

A:

Q: Find the general solution to (t² + 4)y' + 2ty = t²(t² + 4). Enter your answer as y = .... Use C to…

A:

Q: (2x+3)y'= y+y²(2x+3)^½ Linesr equation or bernoulli equation

A: The given differential equation is 2x+3dydx =y+y22x+312. The standard form of Bernoulli's…

Q: 3 Parameterize y(x) = +1 using x = t sin x Ans=

A: The answer is: y(t) = (-3/sin(-3/sinx) + 1)) + 1Explanation:To answer this question, you just have…

Q: Find y' and y" for x² + 2xy − 3y² = 41. Simplify. -2x - 2y 2x - 6y y" = help (formulas) y' help…

A: Given query is to find the second derivative of the expression

Q: y" + 3 y" + 2 y = (x+ 1)e²". %3D

A: We have to find general solution of given differential equation.

Q: Find the particular solution for ysqrt(1-x^2) * y'-xsqrt(1-y^2)=0  when y(0)=1

A:

Q: (2xy¹e³ + 2xy³ + y) dx + (x²y²e³ − x²y² − 3x)dy = 0

A:

Q: mit equatio x²y' + 2xy + O with respect to x and solve for y'. Skip (you cannot come back) x²y + xy²…

A: Given query is to find the derivative.

Q: V24x'y³ • J50x² y° V40m²n • V50m n V28.x*y" 7xy 4 V42 75.xy* V3x 5. 3. 4.

A:

Q: 7. Solve the particular solution using variation of parameters. (D² – 5D+ 4)y = 8e" A. (8/3)xe^x B.…

A: The given options do not contain the actual solution according to variation of parameters method.The…

Q: Find √ 2² T²z ds, where C is the line segment from (0,-3,-1) to (0,3,3)

A:

Q: y''+6y=6+x By using i) Method of undetermined coefficients ii) Method of variation of parameters…

A: i) Given that y''+6y=6+x Take m=ddx m2+6=0m2=-6m=i6 Hence the homogenous solution is…