у %3D (2х + ylnу)у' ; у(1)%3D1

Q: What is a particular solution of a differential equation?

A: Particular solution: particular solution of a differential equation is obtained by known value for x…

Q: find the general solution of the pictorlal differential equation.

A:

Q: The number of internet users in a country increases at a rate that is jointly proportional to the…

A: Let number of people having personal computer be C(constant), number of people having internet be N.…

Q: What is a modeling with differential equations?

A: Modeling is the process of writing a differential equation to describe a physical situation.

Q: what is the Non-exact differential equation?

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Q: What is a nonhomogeneous differential equation with constant coefficient? Define and illustrate the…

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Q: What is the general form and standard form of exact differential equations?

A: Differential equation: A equation is that the linear combination of the variable quantity and…

Q: Determine which is the pure time differential equation, which is the autonomous differential and…

A: Given equations:  dfdt=e-t2                 ............................(1) y'=3y+y2…

Q: The Bernoulli's and ricatti's differential equations have their G.S solved by reducing these…

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Q: Explain when Euler’s Method produces an exact particular solution of a differential equation?

A: Euler’s Method produces an exact particular solution of a differential equation?

Q: A chemical reaction is governed by the differential equation

A: Given, the differential equation                           dxdt=K(3-x)2 where x is the concentration…

Q: The solution of the differential equation using variable separable  dydx+7secy=

A: To find the solution of differential equation dy/dx+7secy=0

Q: Find a linear differential equation with constant coefficients satisfied by e2x, e-x, e3x and e6x

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Q: Obtain the differential equation by eliminating all arbitrary constant.

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Q: The _____ of a differential equation is the power of the highest order derivative term in the…

A: The solution of above question is written below.

Q: Find the differential equation of the family of curve Straight lines with slope half the value of…

A: solutionGivenstraight line y=mx+CAlso givenslope =m=dydxC= y interceptat x intercept, y=0Also given…

Q: Find the differential equation of all straight lines at 2- unit distance from the origin.

A:

Q: find the general equation of the differential equation

A: As per the honor code, we are entitled to solve only 1 question at a time so I am providing you the…

Q: A dropped ball accelerates downwards at a constant rate 9.8 meters per second squared. Set up the…

A: A dropped ball accelerates downwards at constant rate   9.8m/s2. Initially the ball is at height of…

Q: Assume that a population P of wolves in a region is proportional to the area A of the region. Does…

A:

Q: differential equation of the family of circles whose center is on the line y = 3x

A: Please refer to the image below

Q: Based on a function, try to construct a non-homogenous differential equation with at least 2nd order…

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Q: representing the family of circles through the fixed points (-c, 0) and (c, 0).

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Q: Form a differential equation by eliminating arbitrary constants "A" and "B" from the family of…

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Q: Determine the solution of the differential equation.

A: Answer and explanation is given below..

Q: Determine the solution for the differential equation ry = In(x) %3D

A: By using variable Sepraible

Q: Find the differential equation of the family of cissoids: y^2 = x^3/ (a-x)

A: Perform the differentiation and eliminate the constant term in the differential equation to obtain…

Q: Discuss a real time application of linear differential equation

A: According to the given information, it is required to explain about the real time application of…

Q: Discuss a real-time application of first order differential equation

A: To discuss the real time application of first order differential equation,   First order…

Q: A falling object weighs 160 lbs. Beginning from the differential equation, find the object's…

A: Given,  a falling object weighs 160 lbs.

Q: The _______ of a differential equation is the power of the highest orfer derivative term in the…

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Q: Find the differential equations of the families of curves. 1.) Straight lines with slope and…

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Q: What is the integrating factor of the differential equation y' =cscx-ycotx ?

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Q: when we determine the highest derivative in a differential equation, we are actually determining the…

A: According to the question, we have to check the statement either it is true or false and the…

Q: Find the differential equation having the solution as the equation representing all lines with slope…

A: Consider the family of straight lines with slope m and y-intercept c in slope-intercept form as,…

Q: What is Type of a DIfferential Equations?

A: There are four type of differential equations,  1. Ordinary Differential equation. The ordinary…

Q: Describe the difference between the general solution and a particular solution of a differential…

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Q: If the family of curve has 3 arbitrary constants then the corresponding differential equation is

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Q: A tank initially contains 100 gal of brine in which 40 lb of salt are dissolved. A brine containing…

A: A tank initially contains 100 gallon of brine with 40lb of dissolved salt. A brine containing…

Q: State whether the given differential equation is linear or non-linear, ordinary or partial. Identify…

A: Consider the differential equation  y'+y=x2−2             ......(1)

Q: differential equation

A: Please refer to the image below

Q: A differential equation is considered to be ordinary if it has aone independent variable more than…

A: Option C  One dependent variable

Q: independent variables are there in an ordinary differential equation

A: Differential Equation: The equation consists of derivatives of dependent variables (one or more)…

Q: Obtain the differential equation that describe the family of curves.

A: The general equation of the circle isx-h2+y-k2=r2where (h,k) is the center of the circle and r is…

Q: After a correct transformation of variable, a homogeneous differential equation will be reduced to a…

A: We have to check given statement true or false

Q: A car traveling at 100 km/h skids 50 m after its brakes are suddenly applied. Set up a differential…

A: The rate of change of velocity with time is known as acceleration, given by the expression a=dvdt.…

Q: equation

A:

Q: Write a differential equation showing the family of lines with slope and y-intercept equal

A: Equation of lines is y=mx +c ; where 'm' is the slope and 'c' is the y-intercept.