Use the formula k(t) |F(t) × r"(t)|| to find «(t). %3D r(t) = t²i+ t³j K(t) ||

Q: Q2: use Newton-Raphson Method to solve 2sinx x (x 2)

A: The equation in form f(x)=0 is called a transcendental equation. The solution of the equation is…

Q: Solve using implicit differentation.    x ey = 3x-3y

A: Given;   x ey = 3x-3y

Q: Q2 Solve the equation f(x) = x e*-1, Using the false position method in [0,1], with e=|X4-X+1|=0.05

A:

Q: ty (t+1)y + y = t²

A: Given That : ty"-(t+1)y'+y=t2 To find: solve the differential equation using determinant coefficient…

Q: 2. Using the variation of parameters, find the particular solution of (D² + 1)y = sec x

A: By the method of Variation of perameters

Q: Find the solution by using Solution of 2nd order D-Es 2 X ý XỨ ty - xy + y = Lnx -

A:

Q: 2x2 + 2x + 11 dx J (2x + 3) (x² + 4)

A:

Q: Using Trapezoidal method √²³x² dx for n = 4 is equal to

A: The trapezoidal rule works by approximating the region under the graph of the function f(x) as a…

Q: dy dx - Solve = xey-x², where y = 0 at x0 take x = 0, 0.2, 0.4 using 4th order of range kutta…

A:

Q: Q3) Use Euler's method to estimate y(0.02) ey-x y' 1+ e2y •y(0) = 2 (h=0.01) .What is the error in…

A:

Q: For y''+3y'+2y=e^-x, use the variation of parameters formula to find a particular solution. Show…

A:

Q: V Solve using variaton of parameters or recuction of order (D. 3D+ 2)y = (1+e*)

A:

Q: t with y(0) Solve y + 5y ing %3D 4 express- the particular solution as a convolution.

A: In this question, we have to find the particular solution of the differential equation by help of…

Q: Solve with help of partial fraction technique (b) f (5 – 4 x – x² ) dx

A: Our Aim is to solve the integral given below with the help of partial fraction:-∫x5-4x-x232dx

Q: Obtain the general solution. 1. y' = xy?

A: We will find out the required general solution.

Q: Using basic rules of integration, find a. dr b. Jrdx c. fx'(-2r² - 8)dx 12x² – x d. xp- -dx 1-3х e.…

A:

Q: Using the variation of parameters, find the particular solution of (D2 +1)y = secx

A:

Q: 2. Solve by using an integrating factor. (a) y' + 2ty = 2te¯ %3D

A:

Q: Evaluate the intergrals. ∫ (x-1) dx / x2+5x+6 show the complete solution. step by step

A: Given integral is ; ∫x-1x2+5x+6dx

Q: What is the solution for y(t)?

A:

Q: Q3) Use Euler's method to estimate y(0.02) ey-x y' =- 1+e2y „y(0) = 3 (h=0.01) .What is the error in…

A: According to Euler's method: yn+1=yn+hf(xn,yn), where xn+1=xn+h and h is a considered step size.…

Q: Using Variable Separable, solve x² (y + 1) dx + y² ( x − 1) dy = 0

A:

Q: Find the general solution using the method of undetermined coefficients. dx +7x=8e° dt -41

A: Answer

Q: Q2\A: By using partial method solve 2x² cos x dx

A: Given :∫2x3cosxdx

Q: equakan ,yy= xe Solve the ditferen fal with initial condition yl0) =-2

A: Given : yy' = xe-y2y0 = -2

Q: solve for y in terms of t or x, as appropriate.

A: given: lny=-t+5 we have to solve for y in terms of t or x, as appropriate

Q: dx is is equal to: 2x/4-(2x)2

A:

Q: Use the method of integrating factor to solve the linear ODE y' – 3y = 1-e-2".

A: Given: y'−3y=1−e−2x

Q: The f ²-3)³ dx is equal to x2

A: Given: I=∫x2-33x2dx For evaluating given integral, first we simplify given expression then integrate…

Q: of dx forf = 3x² y² – 4.x³ y Q2. + -

A:

Q: a2z If z = In(x² + y²), find a²z + dx2 ду?

A: Given, z=lnx2+y2

Q: 6+ | f(x) dx = 21 and g(x) dx = 14, find (3f (x) + 5g(x)] dx.

A:

Q: The equation f(x)= x² -e* has a solution [-1, 1]. With po= -1 p1=1, calculate p2 using the the…

A: The secant method uses the formula: xn+2=xn-f(xn)⋅xn+1-xnf(xn+1)-f(xn) to perform the iteration. The…

Q: Q5) Solve the following using Trapezoidal rule with n=6 2 f(x) = [²xtnx. dx 0

A:

Q: A. y" – 2y + 1 = (x + 1)e²x

A:

Q: Exercise 5 Using the method of variation of parameters, the particular solution , for y"+3 + 2y = "…

A:

Q: dx メ+Vaxt) dx |-x2

A: Given

Q: Find the value of d2y/dx2 at the point defined by the given value of t. x = t, y = square root 2t ,…

A:

Q: Find the su x² + y? :

A: The surface is given as z=xy. Take the derivative of the surface, z=xyfx=y, fy=x. The surface area…

Q: (D* – 4D³ +14D² – 20D +9)y = 0 - -

A:

Q: Solve f, e-+ n² dt. 6.

A:

Q: 8.) Find of y3 = x* + 3x d?y dx2

A:

Q: Q2- Reverse the order of the integration ff dy dx + f2f²dy dx equal:

A:

Q: f(x) = e¬x² + lIn 2 + 32×

A: Given,      f(x)=e-x2+ln2+32x

Q: Q2/ By using partial method solve fx² In x dx

A:

Q: x In x dx Show that , V4 – x² dx = (2n + 3v3).

A: Part (a) Given integral is ∫12xlnxdx

Q: Q1: Use trapezoidal method with n=4 to approximate 4x4 dx

A:

Q: 1. If g (2) = 59 and fg'(x) dx = 25, what is g(5)?

A: Since you have posted a multiple question, we will solve the first question for you. If you want any…

Q: Solve the DE by Variation of Parameters (D³ + D² – 2D) y (0) = 0.4, y' (0) = –0.4, y" (0) = -0.4

A: The Symbolic form of the equation is D3+D2-2Dy  =4e-2xcos x Auxiliary  equation is D3+D2-2D=0…

Q: Apply Variation of Parameters to find the general solution. e* у"- 2у'+ у 3 1+x?

A: Given y''-2y'+y=ex1+x2