f (x) = 0, %3D pendently selected, find the E

Q: d Using the Chain Rule Twice Calculate 1+ Vx2 + 1. dx

A: Given function is 1+x2+1

Q: Find dy/dx by implicit differentiation.   1) x3 + x4y4 + y7 = 5   2) x^2 / x+y = y2 + 7

A:

Q: Find the critical point(s) of the function. S(x, y) = 4e²-}+4y

A:

Q: Find the differential d4y of the function y=x5.

A:

Q: Use Version 1 of the Chain Rule to Calculate dy/dx

A: y=5x2+11x20Chain rule:dydx=dydu.dudx

Q: Find the differential of the function. Y = e2x

A: Given function is  y= e2x

Q: find the minimum and maximum value of the function on. the given interval by comparing values at the…

A:

Q: The integrating factor of y= 2x' is dx

A:

Q: 4 dx. x'V16-x (c) By using x= 4sin (0), find

A: We have to find integration by substitution

Q: dy for the implicit function x' +xy - y² = -1 dx at the point (1, 2). Find

A:

Q: Find the indicated derivative. dy for y dx 1 – 2x2 x4 - 2x2 + 6 dy xp

A:

Q: ential equati x²y dy = C

A:

Q: 18 dx Integrate using trig. Substitution: S- x² V9– x²

A:

Q: The integration of dx is 4+x²

A: The given integral ∫dx4+x2 can be evaluated as, ∫dx4+x2=∫dxx2+22                =12tan-1x2+C…

Q: Solve th D.E using Exact dx +(x² +3y* )dy

A:

Q: What is the local linearization of f(x) = near x = 1? NOTE: Enter your formula exactly, or round…

A:

Q: Find the orthogonal trajectories of the functiony x + ce which is passing through (-2,0)

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Q: Use variation of parameters to find a particular solution of the ODE y" – y = 2e".

A: Given differential equation is  y''-y=2ex we have to find  the particular solution of this…

Q: find dy y = sec-1 (e-x)

A: According to the question, we have to find the derivative of the expression y=sec-1e-x. To…

Q: Find the critical point of the function f(x, y) = 1 - x – 6x² – 8y + 3y?

A:

Q: Find the total derivative dy dw. Y=3x+2w+5z x=4 In(w*) z=e43x³

A: Given, y=3x+2w+5z2x=4ln(w2)z=e-z+3x-3

Q: Find a slope of the solution of y' = t – y at (3,1).

A: We have been given a linear differential equation dydt=t−y ______(i) (As y′=dydt)We have to find the…

Q: determine dy/dx of the implicit function: 2x2y-sinxy2+e-xy=10

A: Given implicit function is  2x2y-sinxy2+e-xy=10 To find: dydx

Q: What happens when you try to approximate V3 by using fixed point iteration of g(x) = 3/x?

A: To determine what happens when 3 is approximated using fixed-point iteration.

Q: Find the critical points of the function f(x,y)=x^(4) + y^(4) − 144xy

A:

Q: dx 1-t+ x-tx dt

A: Given, dxdt=1-t+x-tx The equation is separable. Write it in differential form and integrate both…

Q: Use the method of variation of parameters to find a particular solution of the DE…

A:

Q: Find the indicated derivative. dy for y = dx 1 – 2x2 x4 – 2x² + 4 %3D

A:

Q: Given the function f(x) = e-3x cos 3x, x = [0, 2π]. When is the rate of change of f(x) a maximum?

A: Here, the given function is: f(x)=e-3xcos(3x) Now, the rate of change is given by: f'(x)=e-3xddx(cos…

Q: Using the Chain Rule Find dy/dx for y = (x2 + 1)3

A: Given, y=x2+13 We can write given function as, y=x2+12x2+1 Now by using the chain rule,

Q: Find dy/dx by implicit differentiation. x3 − xy + y2 = 7

A: Given : x3 − xy + y2 = 7

Q: 2. y = V4-x , x=0 and y=0 about the y- axis

A: Given that y=4-x2, x=0 and y=0 about the y-axis

Q: Find the normalizing constant c so that ce-x/4 dx = 1. C =

A:

Q: Find the derivative. y e How did you determ

A:

Q: Find the absolute maximum and minimum values of the function y = 10x(2 – In x) on t interval (0,…

A:

Q: Use​ Euler's method with step size h​ = 0.2 to determine value of y.

A: To determine value of y at x=0.1 by solving the differential equation dydx=y−x1+x,y0=1, and h=0.2

Q: Find the critical point/s of the function f(x,y) x³+2xy-2x-4y

A:

Q: - Use Euler's method to estimate y(3) given y(0) = 1, and y' = x -. Use steps of h = 1

A: use euler method for finding the y(3)

Q: Evaluate the implicit function by finding dy/dx of x³+3y=3xy

A:

Q: What is the process for finding dy/dx when y is an implicit function of x? Illustrate with an…

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Q: t of integration.) dx 5 + v2x

A:

Q: x² – y² = = CX

A: For orthogonal trajectories, replace dy/dx by -dx/dy and solve it.

Q: Q11) For the z= (2x+3y)10,which is correct ?partial derivative

A: Given,  z = (2x + 3y)10 To find the partial derivatives.

Q: V Solve usıng variaton of parameters or reduction of order (D²+1) y = tan

A:

Q: xy = In (2y) – e

A:

Q: Find dy/dx by implicit differentiation. x6 + y6 + 12y - 10 = 0

A: NOTE: Refresh your page if you can't see any equations. . take the derivative with respect to x

Q: (B): Find the integration by using substitution method √x√2x-1 dx

A:

Q: e demand x, and finc le of x clock radios. oduction level of 160

A: Marginal and Revenue function: (A) The price p and the demand x for a particular clock radio are…

Q: Find dy/dx of the following function using Chain Rule. y=(-3x5 +1)3

A: we use chain rule for differentiation y=(-3x5 +1)3 dy/dx =3(-3x5 +1)2(-15x4) dy/dx = -45x4(-3x5 +1)2…

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.