|- find the general Solestion of the differential eq ladich

Q: S(x)=x(2x-1)^2   Use differentials to approximate change when x changes from 5,000 to 6,000

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Q: dy dy 8. 5x- - xy = 0 dx?' dx

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Q: 3.u 3.Use differentials to approximate the value of v99.4

A: In this question we have to find the approximation value of 99.4

Q: Find the approximate value of √0.95 using differential

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Q: d°u, a'u , a°u 4. əx' ay' ôz

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Q: Differentiate  G(t)= Sinh(In t) G'(t)=?

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Q: 6. Find the total differential for the following equation of the following equation; z = ex² + y²…

A: We Know that  For function z = f(x, y) whose partial derivatives exists and  Total Differential of z…

Q: Write a differential formula that estimates the change in the surface area S= 6x of a cube when the…

A: Given that surface area of cube s=6x2and side length change from x0 to x0+dxsolution:x=x0  and…

Q: Find the differential dy of the given function y = √(36 − x2)

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Q: For a function y = g(x) the differential dy is given by:

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Q: Solve for the particular solution of the following differential equUations. a. (x³ + 3y)dx –- xdy;…

A: The given differential equation is: x3+3ydx-x dy=0 ;    y(1)=3

Q: Solve the differential equatiorn dy e Cosz =0 by Adams- Moulton method with h=01

A: Step:-1 Adam's Bashforth Predictor Formula is yi+1, p =yi +h24 55 yi' - 59 yi-1' +37 yi-2' +9 yi-3'…

Q: Find the total differential of the following:  z= xsinxy

A: The  total differential equation is dz=∂z∂x·dx+∂z∂y·dy. The given function of x and y is z=xsinxy.…

Q: Determine the general sulution of the given differential y" pzy" ty= It#) Sint

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Q: Solve the following differential equation by using Laplace transform y" = 5, where y(0) = y =0 %3D

A: Introduction: The Laplace transformation of the derivative of a piecewise continuous function ft is…

Q: Find the value differential equ of the arbitrary and the value c y'+4

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Q: 1. (a) Use differentials to find a decimal approximation of V119.

A: Given data is : 11913 Use differentials to find a decimal approximation.

Q: dy 2-y = 2y +4. dz

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Q: 15. Use differentials to approximate V26.

A: To approximate263

Q: Given a function ƒ that is differentiable on its domain, write andexplain the relationship between…

A: The differentiable function is f on the interval I which contains a point a. The linear…

Q: Find the degree and state whether each of the following differential enuations is linear, if it is…

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Q: Find the general solution of the differential equa- tion / - a?y = -x - xy, %3D where |r| < 1.

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Q: /4 Find the derivative of y with respect to t. (a) y = In(3te-1) (b) y = esin t (In t² + 1) (c) y =…

A: Given functions,  (a)  y=ln3te-1 (b)  y=esintlnt2+1 (c)  y=tlog3e(sint)(ln3) The objective is to…

Q: Integrate the following differential and determine the constant of integration: dy/dx = 8/x which…

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Q: HeWal Compute yG), for the differential eguahion

A: The Laplace transform is a particularly elegant way to solve linear differential equations with…

Q: Let g be a function such that g (v) > 0 for all y Which of the following could be a slope field for…

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Q: Classify the following differential equations by type (homogencous or nonhomogeneous, inear or…

A: We know that in a homogeneous differential equations constant term is zero and a non homogeneous…

Q: Estimate Ay using differentials for the given function and the given values of a and dr 2/3 y =xe-,…

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Q: I. EVALUATE THE FOLLOWING DIFFERENTIAL EQUATIOON USING BERNOULLI'S. dy y? dr

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Q: 8. Compute the differential df of f(x,y) = log (x² + y²).

A: Given; f(x,y) = log(x2+ y2)

Q: Consider P(D)y = 0. What conditions on the rootsof the auxiliary equation would guarantee that…

A: Solution: Consider the given Differential Equation P(D)y = 0 Let the Auxiliary Equation of given DE…

Q: Consider a differential equaUion -x2 y' = xy + xe

A: we have been given a differential equation with initial condition y(0)=0 y'=xy+xe-x2

Q: dy Plot the slope field for the differential equation dx = y?- - x and sketch the solution for the…

A: Solution is given below:

Q: 5) Approximate the values by using differentials: a. 99 b. e0.1 с. 2.015

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Q: . Let y =sqrtx Find the differential dy

A: To find, y=x To find the differential dy.

Q: 16. Use differentials (that is, linear approximation) to approximate: V3.9 – e0.05

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Q: Find the general Solutton of differential CGu aton , 3 t.

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Q: ydx -( x+***ty? dy = 0

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Q: xdy- ydx 4. The exact differential d what is the

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Q: Create a slope field at the given points for the differential equation dy dx y+1 x+1 Change the…

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Q: Answer the following using Homogenous ODE in Differential Equation. 3(3x2 + y?)dx – 2xydy = 0

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Q: Solve the following using the method of solving Homogenous Differential Equatior 1. (ху + у?)dх —…

A: this is homogeneous differential equations then integral factor is 1/(MX+Ny)

Q: f(1, у) — Зх + 2у;

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Q: Consider the direction field below for a differential equation. U

A: Given,

Q: Find the approximate value of the following by use of differentials. 1. √626

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find the differential equation of the family of curves y = mx + b where m = b.*

A: We have to solve given problem:

Q: Generate the values of y for the differential equiation   y - x + x*y = dy/dx   For the interval…

A: Let given differential equation is  dydx=fx,y=y-x+xy, y(0)=1 where x∈0,3 and step size is h=0.5.…

Q: ) Solve the following Second order Ordinary Differential Equation (ODE) using Laplace Transform:

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