Find the relative error in the computed area of an equilateral triangle due to an error of 3 percent in measuring the edge of the triangle.

Q: Determine the function if it is a solution to the differential equation or not.

A: Given function is a solution of the differential equation. This is a complimentary solution along…

Q: Form the differential equation by elimanating the arbitary constant A,Bvfrom y=Ae7x+Be-7x

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Q: Describe how to determine whether a function y = f(x) is a solution of a differential equation.

A: We can determine whether a function y=f(x) is a solution of a differential equation by plugging in…

Q: AJ'Solve the Differential Equation + w?y 0

A: Given: d2ydx2+w2y=0 So, we can also write as: D2y+w2y=0D2+w2y=0 So, the auxiliary equation is:…

Q: what is the Non-exact differential equation?

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Q: How do you solve this using differential equations?

A: Given: The detective got a call at ten past midnight. He arrived at the crime scene in 20 minutes.…

Q: Solve the equation difFerential Ci+ x) y' + y = Jx %3D

A: Given differential equation is,

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: solve the differential equation

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Q: +xy+(x-9)y=0 2 4 2.

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Q: Solve the differential equation.

A: To find the solution of the below differential equation. dydx+ycotx=5ecosx Initial condition: yπ2=−4

Q: Determine the form of a particular solution for the differential equation. Do not solve.

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Q: Solve the differential equation

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Q: Solve the differential equation with clear steps

A: Given, system of differential equation is dxdt=3x-y-zdydt=x+y-zdzdt=x-y+z We can write it as in…

Q: Explain briefly the classifications of the Differential Equations?

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Q: Determine whether the following statement is true or false, and explain why. Every differential…

A: Solution:GivenEvery differential equation is either separable or linear.To determine the given…

Q: What are the rules or theorems that you may use to identify the difference between linear and…

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Q: Develop the corretor-predictor formula fer solving differential equation.

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Q: Solve differential equetion. = 8X+_5X dx 4-202

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Q: Solve the differential equation. 9 + Vr du dr 9 + Vũ

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

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Q: What is the differential equation given functions?

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Q: Solve for the differential equation

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Q: Find the differential equation given the general solution: y = cer + Czex + 3x

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Q: Calculate whether the differential equation is exact or not and Find the general solution.

A: The given differential equation is:x2+2x+ydx+2dy=0We need to check whether the equation is exact or…

Q: Solve the differential equation using variation of parameters

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Q: What do you understand in LINEARITY of an ordinary differential equation? Give the general form of…

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Q: Find the order of the differential equation. And check if it is linear or nonlinear.

A: Given the differential equation

Q: Qs: Solve the fallowing differential equations

A: Given differential equation is xy3y'=x4+2y4. We will find the general solution of the given…

Q: X Why is it important to know whether a differential equation or system of differential equations is…

A: The given question is solved below.

Q: m the differential equation by eliminating arbitary const

A: Form the differential equation by eliminating arbitary constant :y=ax3 +bx2

Q: The integrating factor of the differential equation is ? Justify your answer

A: Given that the differential equation is      (dy/dx) +(y/2x) = ex/√x Here we have to find the…

Q: Solve the differential equation. 4 + Vr du dr 5 + vu II

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Q: Find a differential equation whose general solution is y = ciet + cze-4t. %3D

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Q: determine the differential equation

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Q: What is Type of a DIfferential Equations?

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

Q: Solve the differential equation by undetermined coefficients (annihilator approach). y(4) + y" = 3x2

A: Please see the below picture for detailed solution.

Q: A man takes 40 mg of a certain medicine. Each hour, the amount of medicine in the man’s system…

A: Given , man takes 40 mg of medicine and each hour medicine decreases by 30%. We need to calculate…

Q: Solve the differential equation. (Use C for any needed constant.) 7 + Vr 7 + Vu du dr

A: Given differential equation,

Q: Find the serial solution of the differential

A: We have to find out the series solution of the differential equation y''-xy=0 at the neighborhood at…

Q: ry? V1+ x²

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Q: Determine whether the differential equation (2− y′)/ y= 5x is linear. Explain your reasoning.

A: To determine whether the differential equation (2-y')/y=5x is linear.

Q: What is a first-order differential equation? When is a function a solution of such an equation?

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Q: Find the Differential Equation: xInxdy + xydx = Inxdx

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Q: What is the degree of the differential equation:

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Q: Use linearization to classify the fixed point for the differential equation i = e -1.

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