Question 2 Which of the following equations are linear ordinary differential equations? 1. 7x + yx = 0 2. 7x' + sin² (y)x + x = 0 3.3² +5 = 0 dy² 2. = 0 Ot ду ƏT 4. 17. 5. 3² +5vx³ = 0 dz Equations 2 and 4 Equation 4 Equation 1 O Equations 1 and 5 O Equation 3 Equation 5 O Equations 1,2 and 5 Equation 2 Equations 1,2 and 4 Equations 1 and 2

Q: Which of the following equations are linear ordinary differential equations? 1. 7x² + yx = 0 2. 7x'…

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Q: Which of the following differential equation has a solution of y = e"(c, cos 2x + c, sin 2x) ?

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

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Q: A differential equation ay" + by" + cy' + dy = 0 where {a, b, c, d} are constants has the roots of…

A: Topic :- Differential equation

Q: Find the general solution to the given equation -22-5y=0

A: To find the general solution of given differential equation

Q: 1. Solve: b. y' - (x + 1)y 1+x² 1 y' - y = xsin x X

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Q: 1. Solve: a. b. y' y' = - (x + 1)y 1+x² --Y x sin x = X

A: 1(a) Given differential equation  we know that hence , by separation of variables we get Take…

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A: We will find out the required differential equations for given roots of auxiliary equation.

Q: Which are the differential equations and initial conditions?

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Q: + sin(x) = cos(x) 4x²

A: Concept:

Q: H. Solve as a homogeneous equation dy dx x² - y² 2xy

A: .

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A: The solution is given as

Q: + 2y = xy+1 (n is a constant) nx Answer: Cxy" +xy – 1= 0

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Q: Find the solution to the given Differential Equation (2x-y)dx-(x+4y)dy =0 Select one: O a.…

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Q: Consider the differential equation for y (- 5ӕ — у)da + xdy — 0. ON 1. Express the equation into the…

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Q: Given below is a complete solution of differential equations. Identify all LINES in the solution…

A: In the given solution of differential equation we have to find out the errors :-

Q: Question 3 : 2y!ly y" +2)=xy'k

A: As per the question we have the following first order exact differential equation : 2y'(y11 + 2) =…

Q: Find the linear differential equation that is satisfied by y=xe-xsin3x+2e-xcos3x.

A: Let's find linear differential equation.

Q: A solution containing 2lb of salt per gal starts to flow into a tank of 50 gal of pure water at a…

A: Given that, A solution containing 2lb of salt per gal starts to flow into a tank of 50 gal of pure…

Q: Use separation of variables to solve the differential equation explicitly for u. du dt = 3 + 3u + t…

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Q: (2xy - y² + y)dx + (3x² - 4xy + 3x)dy = 0

A: The given differential equation is

Q: Which one of the following is the Exact differential equation ? O (2? + 3ry)dy + (3 + )dz = 0 O (22…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Classify the following differential equations: a. Independent variable (IV) and dependent variable…

A: The question is related to differential equations. The solution is explained below.

Q: What differential equation has y = x² cos y - 4x + C as a solution?

A: We have to find

Q: Find the differential equations having as solution of y = x sin(xtc) .

A: We find the differential equations having as solution of y = x sin(xtc) .