Which of the following is a non-linear differential equation? О а. Згу" (а) — 5у4(2) —D Ina b. y dr dy + x = y? Ос. sin(x)y" + y' 3e2 O d. y" + 7y = 5x + 1

Q: 2хy -y' y2-x2 a. 3yx? + y3 = k Зух? — Зу3 c. 3yx? - y3 =k d. yx? – y = k e. Not in the list. b. %3D…

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Q: What is the solution of the differential equation by da = a(2a' + y)dy ? a. 1. = .3 O b. 1 1 2 O . 1…

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Q: syidr + [2yłn () + 3siny]dy: 6. x²+3x 3y?dx 5x ;when x = 1, y = 0 x+3,

A: Given, Differential Equation:  3y2x2+3xdx+2y ln5xx+3+3 sin ydy=0when, x=1 and y=0 To find: The…

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A: The given problem is to find the differential equation of the family of circles with centres on…

Q: If yH of a differential equation is cze* + Cze* + Cze*, then W1= %3D (a) 0 (b) 6. (c) 5e¯* (d) e5z a…

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Q: Match the differential equation with its direction field. y' = 7(x + y) - 1 -0.4- 0.2 q.2 d4 Give…

A: We first give the right option for  the direction field of given differential equation then give the…

Q: Determine whether the following equation is a solution to the corresponding differential equation.

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Q: Find the differential equation of the general solution y = ce4* + c2e5x %3D A. y" + 9y' – 20y = 0 В.…

A: y = C1 e4x+C2 e5x  To find :- Differential equation of given equations  Method:-  Here in given…

Q: How many parameters are there in the differential equation * у 3а сos bх + c sin bx+4 а. 2 b. 3 С. 4…

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Q: 3x Which differential equation has y = A+Be* – 3x as its general solution? Select one: O a.…

A: Check the option with the given solution

Q: 5. Obtain the differential equation of the family of curves, parabolas with vertex and focus on the…

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Q: Which of the following differential equation has a solution of y = C,x³ + C2x ? 4y = 3x?y' – x³y" 3y…

A: To find which option is correct: We first find y' and y'' of  y = C1x3  +  C2 x and then we will…

Q: Given that y1 (x) = t* is a known solution of the linear differential equation ²y" – 7ty + 16y = 0,…

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Q: 5) Solve y) - 3y4+3y" - 3y" +2y' = 0.

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Q: The order of the differential equation (y")5 + 2x(y"")* – 3y' - 4x2 = 0 is - а. 5 с. 3 d. 6 b. 4

A: Given Differential Equation: yvi5+2xy'''4-3y'-4x2=0

Q: Which of the following differential equation is non linear, first degree, and the independent…

A: We need to choose correct option.

Q: Determine whether the following equation is a solution to the corresponding differential equation.…

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Q: y" - бу' + 9 %3 0 which of t equation? I. y = C1e3* + C2xe3*

A: Here we find the auxiliary equation.

Q: H.W 11 Solve differential equation (a) x'y"-xy '+ y = Inx (b) x'y "-6y =0 (d) x'y "-3x'y "+6xy-6y =…

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Q: Which of the following differential equation has a solution of y = Cqx³ + C2x ? 3y = 4xy" + x²y' 4y…

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Q: Obtain the differential equation of the given family of curve: y² : C-x a. 2x³y' – 3x?y – y³ = 0 b.…

A: Given curve : y2=x3c-x ⇒c-x=x3y2

Q: (ху + 1) dx + (ху — 1) dy %3D 0

A: As per the instruction, we will be answering only the first one. Here, M=xy+1 and N=xy-1. Now,…

Q: Which is the differential equation of the family of parabolas with axis along the y-axis and with a…

A: To find out the differential equation for the given statement.

Q: 1.3x – xy = c -

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Q: Match each solution function to the correct differential equation. A. y = e* I. y" + y = 0 В. у %3D…

A: I am going to solve the given problem by using the simple differential calculus formulas.