The value of 'n' to approximate [x dx by taking h = 0.1 using Trapezoidal Rule is О а.2 O b. 5 О с. 15 O d. 10

Q: 3. Using Euler's method, find an approximate value ofycorresponding to x= 1.6, given =y -and dx y =1…

A:

Q: The following problem is for extra practice and does not have to be submitted. 2 1 -dx using the…

A: According to question ∫0211+x3dx,       n=4

Q: Evaluate dy/dx at x = 2.5, correct to 3 significant figures, given y= (2x^2+3)/In 2x

A:

Q: correct to three decimal places by Trapezoidal rule with 1 +x dx Evaluate I= h=0-5.

A:

Q: 2. Use the composite trapezoidal rule with the step length h = 0.1 to evaluate dx I = 1+x2 and…

A: Composite trapezoidal and composite Simpsons 1/3rd rule

Q: `s): The area of the surface obtained by rotating the curve y = ln(3x - 2), for 3 ≤ x ≤ e², about…

A:

Q: Q1/ Evaluate So (x² + 3y²) dy dx using Simpson's 1/3 rule in x-axis and Simpson's 3/8 rule in y axis

A: 1 Given integral is ∫03∫01x2+3y2dydx. We have to evaluate the given integral  by using Simpson's 13…

Q: Use the trapezoid rule withn=4 to estimate dx . Answer must be in fraction.

A:

Q: Mesin(2x) dx = e$in(2X) + C then the M is equal to Blank 1 If

A:

Q: to determine the approximate value of v(1+x³)dx

A:

Q: The volume of a right circular cone of radius x and height y is given by V = volume of the cone is…

A:

Q: pol DA 4. x dy + y dx = 0 (3x²y² + 2y³ - 4y) dx + (2x³y + 6xy² - 4x) dy = 0

A:

Q: Evaluate Si S dz dæ dy 0. 4.

A: Here I am attaching image so that you understand each and every step.

Q: EXAM Q1-If x= cot-1 VE, y =,-. find dy d2y dx' dx2 at t = 2.

A:

Q: A. Use Simpson's rule to evaluate -dx ,by taking n= 4. Inx B. Find the length of the curve y = x…

A: Answer

Q: What is the difference between dy dy and Ay Use an example y = 4x?+ eX to under stand. 4x2+ ex

A: In the given questioin we have to tell about the difference between dydx,∂y∂x and ∆y∆x. first we…

Q: sin(x+y)=xy  what is dy/dx?

A:

Q: Find e dx approximately using Simpsons rule with n 10.

A:

Q: 2x dx by taking n = 4 1+ x Use trapezoidal Rule to evaluate

A: trapezoidal rule

Q: Which method approximates (x³ + Inx) dx to 0.9314 (a) trapezoidal rule with 12 intervals (b)…

A: Trapezoidal rule ∫x0x0+nhfxdx=h2y0+yn+2y1+y2+y3+y4+...yn-1 Simpson's one-third rule…

Q: Use the composite trapezoidal rule with the step length h = 0.1 to evaluate sin x -dx, in six…

A:

Q: Determine y (0.6) by the second order Runge-Kutta technique with h = 0.1, given that dy 1 x+y' y (0)…

A:

Q: | sec 5x dx

A:

Q: Find dy. y = 5 In (5+ x°) dy =

A: If you like the solution then please give it a thumbs up.... The Answer is:           Result :…

Q: I Approximate "dn with accuracy l by te modified Trapozoidal Compo site rule.

A:

Q: 1. dx Evaluate 0, et +e-*

A:

Q: 22. Use the Trapezoidal Rule with n = 4 to approximate 1 (x− 1)² dx

A:

Q: Find the most general antiderivative , verify answer by differentiation  g(x)=7sin theta/3

A:

Q: Use the Trapezoidal Rule with n = 6 to ex approximate dx | 1 х Use the Simpson's Rule with n = 6 to…

A:

Q: y = tan(e*) + ey %3D

A: Given function is: y=tan ex+exy We have to find y'.

Q: 1 Evaluate dx by using Trapezoidal rule. Hence obtain 1 + x2 he approximate value of .

A: I am attaching image so that you understand each and every step.

Q: 2x dx by taking n = 4. 1+x Use trapezoidal Rule to evaluate

A: on solving this we get

Q: 5.Differentiate.   y=3/2−4x

A: We will differentiate using chain rule of differentiation.

Q: Solve the following Exact DE using Method of Grouping. 3) () dx + () dy = 0 X-X y

A: Given:          2x-1ydx+x-x2y2dy=0     This is in the form of   Mx,ydx+Nx,ydy=0    where Mx,y=2x-1y…

Q: x +y-y° =5

A: The given equation is x2+y-y3=5 We have to find dydx=?

Q: Use the composite trapezoidal and Simpson's rules with step length h = 0.4 to estimate In(2+3/x)…

A:

Q: The approximate value of dx by using Simpson's rule is 0.3480, then the error in the approximation…

A: Given Approximate value of the integral by Simpson's rule(Vs) = 0.3480 Now we will find the actual…

Q: |2²+2x + 1 dx

A:

Q: If y= tanu, u=v-- -, and v=ln x, dy at x= e? dx what is the value of

A:

Q: Use the Simpson's rule to estimate e**dx with n = 4

A:

Q: 2- Evaluate sin x dx using i. Trapezoidal rule ii. Simpson's rule iii. Simpson's rule, taking n = 6

A:

Q: Find the most general antiderivative. 4 dx

A:

Q: Use the Trapezoidal Rule with n = 4 to approximate the value of: +1)dx.

A: Given,  ∫12x3+1dx, n=4

Q: er dy %3D sec da

A: The given differential equation is exdydx=sec y and the initial condition is y0=1. Solve the given…

Q: I = Si S (x² + y³) dy dx.

A:

Q: The approximate value of| dx by using Simpson's rule is 0.3639, then the error in the approximation…

A: Approximate value of ∫161x4dx by using Simpson's rule is 0.3639 To find the error in the…

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.