(a) Find the approximations T4 and M4 for 7el/x dx. (Rou T4 = %3D %3D

Q: d. Use your answers for parts a and b to estimate 1 -dx using the trapezoid rule with n=4

A: Approximate by trapezoid rule

Q: A. Solve the following equation using integrating factors found by inspection. 4. xy(y2 + 1)dx +…

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Q: What is the numerical approximation to 1 3 -dx -1 2+x using the basic trapezoidal rule? (а) 0 (b) 2…

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Q: find dy/dx in terms of x and y if (x-a)^4+y^4=a^4. Assume "a" is a constant dy/dx=?

A: Given: (x-a)^4+y^4=a^4

Q: The solution of the DE dy + (y – 1) dx =0

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Q: Find the general solution of the given Attached equation

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Q: Given the equation dy = 3x2 +1 with y (1) = 2 %3D dx Estimate y(2) by Euler's Method using h = 0.5…

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Q: (x² + 6y²)dx – 4xydy = 0,x = 1, y = 1 -

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Q: dx x- y- dy dx (Separation of variable) dy

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Q: d etermine whether or not diffential eq is exact (1/x^2 - 1/y^2)dx + (2x+1 / y^3)dy=0 if exact solve

A: given differential equation is  (1x2-1y2)dx+(2x+1y3)dy=0

Q: Given tanh-1(xy) = xy, find d²y dx2

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Q: 4. Find . d?y of the functions x = 1+ cost and y = 1– sin t. dx2

A: Differentiating given parametric equationswith respect to t,x=1+costdxdt=-sint…

Q: Use Euler method to approximate the value of y(2.2), given               ay' - by = cx2 + dx   ,…

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Q: Find the values of dz/dx and dz/dy at the given point

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Q: What is the choice of substitution for S e*(1+e*)(1/2) dx?

A: The given integral,        ∫ex1+ex12 dx

Q: Find the general solution of the equation тx dy %3D пу dx

A: see calculation below

Q: = For a given table 2 5 8 11 13 18 y 4 8 d' (a) Find the value of - dx at x=2 and x= 8 using forward…

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Q: 1. Solve for y, using the method of successive approximation. dy dx = x + y; y(1) = 1

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Q: 12. Solve the following first-order equations: dy а. = 4x/y, with y(0) = 1 %3D dx

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Q: Given x = 75 sint + 30 and y= 75 cost +4 dx (i) dt dy (ii) dt dy (iii) dx || ||

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Q: what is the general solution of a = e* dx +1

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Q: If x t-t3 and y = t2-t, the value of at t = 2 is dy dx

A: It is simple differentiation.

Q: Given y = xy2 + e* calculate and report the value of dy when y = x = 1. dx

A: Differentiating using product rule

Q: D.E Poll owing (1+y)dx= (bany -x) dy Solve the %3D

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Q: 4 dy 5. х dx + бу %3D 3хуз 3xy

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Q: x(xy – 1)dx + dy = 0 (Non-exact)

A: Solve differential equation.

Q: What is the numerical approximation to -dx -1 2+x using the basic trapezoidal rule? (a) 0 (b) 2 (c)…

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Q: 1 dx using the trapezoid rule with n=4 1+x d. Use your answers for parts a and b to estimate

A: Given the integration ∫0211+x3dx

Q: Zy dx = (x?-1)L dx-dy) %3D

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Q: D. Find dy/dx of the following and simplify x v4-x y= Arccos

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

Q: The µ(x) that converts the equation below into an exact equation x dy (x*ev ++ (2x²e" + 1) = 0 y) dx…

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Q: Find the solution of the this differantial equation. extan(y)dx + [(ex)/(x-1)]dy = 0

A: Hair we use the variable separable method to solve this equation.

Q: 2. Determine y so that it will satisfy the equation: d'y_dy dx = 4e* +3e²* dx with conditions y(0) =…

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Q: dy Solve the initial – value problem: = y² given that f(0) = -1 dx %3D

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Q: (b) Solve the following initial vahue problem by separation of variable = 2x at x = 0, y=-2 dx

A: We will solve the problem

Q: хуз dx + e** ,3 dy = 0.

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Q: 1 dy 3 x*y3 y 4 dx

A: Given that    dy/dx -(3/x)y = x4y1/3  Here we have to solve the given differential equation.

Q: (a) Find the approximations T4 and M4 for 27e/x dx. (Round your answers to six decimal places.) T4 =…

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

Q: if y=u, u=v -1/2 and v=lnx, what is the value of dy/dx at x=e

A: Calculate the value of dy/dx and then put x=e .

Q: 3 5. Evaluate I x*dx exactly and find the actual error with the trapezoid approximation. 0.

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Q: For which value of a the equation dz dy dx =2 -1 does hold?

A: The constant rule of integration and the power rule of integration are given by and, respectively,…

Q: Find an upper bound for the error in estimating (5x3 + 2x)dx using the Trapezoidal Rule with n = 10…

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Q: d’y dx? Find the general solution for +10 -+25y = 0. dx

A: For the second order homogeneous differential equations of the form ad2ydx2+bdydx+cy=0 , the general…

Q: 1. Solve for y3 using the method of successive approximation. dy =x+ y; y(1) = 1 dx %3D

A: The given problem can be solved by the following method,

Q: Solve xy( 1 + x y? ) = 1 by using Bernoulli's equation. %3D dx

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Q: d. Try to find dx dy at (0, 0) on both graphs. What goes wrong? How does this relate to their…

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