Which of the following differential equation is an exact equation? А.х dx + (у — Зx?) dy 3D 0 B. (y? – C. xy2 dx + (x² + 1) dy = 0 D. (2x + y cos ху) dx + x cos ху dy 3D 0 – xy) dx + x²dy = 0

Q: For which of the cases below do the given functions form a fundamental set of solutions of the…

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Q: Find a Cauchy-Euler differential equation ax²y" + bæy' + cy = 0, where a, b, and c are real…

A: To get auxiliary equation from the equation ax2y''+bxy'+cy=0, replace x2y'' by mm-1 , xy' by m and y…

Q: Which of the following is the general solution to the differential equation cos(x) cos(y) dx –…

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Q: Which of the following is the singular solu tion of the differential equation y = xy' – 3(y')² – 2 ?…

A: Find the singular solution of the ODE y=xy'-3y'2-2

Q: Which of the following functions are solutions of the differential equation y" + y = 9 sin(x)? y = 9…

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Q: Which of the following is the order(o) and degree (d) of the differential equation yir = (7 +(y…

A: The solution is given as

Q: Verify that for constants A, B, C and D the function ø(x) = Ae* + Be* + C sinx+ D cos x is a…

A: ANSWER :

Q: Which of the following is the linear differential equation resulting from the solution of the…

A: The given differential equation is first order but not of first degree. We denote dy/dx =p and the…

Q: Which of the following is a solution of the differential equation -4x 0? dz (a) y = 4x (b) y = e-4x…

A: We have to find the solution of the differential equation: dydx-4x=0 Rewriting the differential…

Q: Which differential equation follows the form A (x) dx +B(y) dy=0? ysinxdx-2xcosydy=0 B There is no…

A: Check for all the options.

Q: Q1/ Solve only Iwo of the following differential equation: 1- xy' + y = y2 2- у'%3D 2х — 3ху 3- 2xy…

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Q: 17. Determine the differential equation whose general solution is y = C,Sin3t + C,Cos3t . d? y - 9y…

A: Topic = Differential equation

Q: Which of the following is the singular so lu tion of the differential equation y = xy' – 3(y')² – 2…

A: The given differential equation is                     y=xy'-3y'2-2 ⋯⋯⋯⋯ (1) To find singular…

Q: Which differential equation is homogeneous? A х2 dx + [ydx - хydy]3D0 В xdx =2x³dy- ydx © y = 9x² +…

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Q: 5 puan Let c be a constant. For the following differential equation: dy -y%3DD - dr In which of the…

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Q: Which of the equations below is a second order nonlinear differential equation? Select one: O t'y-…

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Q: 7. Which of the following differential equations has x² – 4y² = 8 as a solution? dy dy 4x А. = 4xy…

A: The solution of the differential equation is given by x2 - 4y2 = 8            ........(1) To…

Q: Verify that the indicated function is an explicit solution of the given differential equation.…

A: given,y=25-25e-35tdydt=ddt25-25e-35t=ddt25-ddt25e-35t=25ddt1-25ddte-35t=0-25e-35t-35=2535e-35t=14e-3…

Q: Which one is false? If the auxiliary equation of the homogeneous linear differential equation has…

A: Let us check which of the information given is false in the next step.

Q: Which differential equation follows the form A (x) dx +B(y) dy=0? A B dy dx dy - y --2y=0 - 2dx=0…

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Q: Which of the following is the general solution of the differential equation y" - 36 y=0 ? O…

A: y''-36y=0auxillary equation is given bym2-36=0(m+6)(m-6)=0m=-6,6m1=6 , m2=-6

Q: Which of the following is a linear differential equation? O da-t{1+t²) sec² ædt = 0 O…

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Q: The indicial equation for the differential equation хy" + 5у" - бху %3D 0 is O A. "(5r – 1) = 0 А. O…

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Q: Which of the following systems is equivalent to the differential equation y" + 9y" = cos(x) – y? 9uz…

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Q: Which of the following is a solution of the differential equation xy' +y = 4x? y = 14x-1 - 2x %3D Oy…

A: We can solve this problem by applying the concept of linear differential equation.

Q: Which of the following functions are solutions of the differential equation y' - 5y = 0? O y = 2e5a…

A: The given differential equation can be solved by using variable - separable method.

Q: Which of the following is the solution to the differential equation = , where y(-2) = -1? dy dx (A)…

A: Given:     To determine: The solution of the given differential equation.

Q: Which of the following differential equation can be solved using separation variables? a. (x-2y)dx +…

A: Topic:- differential equations

Q: The differential equation (3x²e" – 2x}dx + (x*e' -sin y}dy = 0 is exact because ƏN ƏM Qu20[>_30imh…

A: Topic:- differential equations

Q: Which of the equations given below is the solution of the following differential equation with the…

A: Which of the equations given below is the solution of the following differential equation with the…

Q: Which of the following functions are solutions of the differential equation y – 3y = 6 ? O y = e2 –…

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Q: +, classify the following differential equations according to type, order, degree, and linearity.…

A: Given : The differential equations  1) 1 + y2d2ydx2 + xdydx + y = ex 2) xy''' + y'' + cos2xy = x3…

Q: Which of the following is the general solution of the given differential equation: O a.y= Ce"+ C,x'…

A: m4 - m2 + 2m + 2 = 0m2(m2 - 1) + 2(m+1) = 0m2(m - 1)(m+1) + 2(m+1) = 0(m+1)(m3 - m2 + 2) = 0(m+1)(m3…

Q: Which one of the following is the Exact differential equation ? 1 (x2 +3xy)dy + (y³ +a²)dx = 0 3 (x2…

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Q: Form the differential equation whose primitive is given by the following equations, a, b, c being…

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Q: Find an autonomous differential equation with all of the following properties: equilibrium solutions…

A: Equilibirium points are y = 0 and y = 5. y' will be either -y(y-5) or y(y-5). If y'=y(y-5), then for…

Q: To find the differential equation of y= c,e 2x c e“ cos 3x + c,e“ sin 3x, we use elimination of…

A: First simplify first derivative equation and then derivative it again with respect to x

Q: Which one of the following is an Exact Differential equation.? O (2²y+sin a?)dx + (2x + sin y)dy = 0…

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Q: For each of the differential equation determine the order of the equation and if the equation is…

A: Dear Bartleby student, according to our guidelines we can answer only three subparts, or first…

Q: Solve the exact differential equation (n y - y sin x -без)dx+(, + cos x + 5 seс y tan y - 6у)dy %3D…

A: Here we have to solve the given exact differential equation.…

Q: Q-2) [CLO1(PLO1)] Solve the given differential equation subject to the indicated initial condition a…

A: 2) Given differential equation is  α +11 + y2 + cosx - 2xydy - yy + sinxdx = 0,   y(0) = -1

Q: Which of the following functions are solutions of the differential equation y– 5y = 0? - O y = 2e5z…

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Q: 7. Which of the following differential equations has x2 – 4y2 = 8 as a solution? dy = 4xy dy 4x А.…

A: (7).   The given function is: x2-4y2=8

Q: Which one of the following is the Exact differential equation ? (æ² + 3xy)dæ + (y³ + a²)dy= 0 O (x²…

A: We have to check

Q: Determine whether the following ordinary differential equation cosh (3/y) - In(7y)y" = 11cos(4yx) -…

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Q: Which of the following is the general solution to the differential equation dx %3D 2 (3х + у)2 — 1?…

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Q: Hi, can I get help with this problem? Thank you! 2.3

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

A: To find the exact differential equation from the following equations

Q: Which of the following is the linear differential equation resulting from the solution of the…

A: Given: The given equation is y+3xy'-2(y')3=0 Since, p=dydx Then, y+3xp-2p3=0

Q: Which of the following differential equations are separable? : (i)dy/dx=xy, (ii)dy/dx=x+y,…

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