Which of the following differential equations is NOT exact? Select one or more: a. (x² + 2xy)dx + x² ydy = 0 b. y = x? – 1 %3D c. x cos(x) + y + xy = 0 I d. x²y*dx + x ydy = 0 e. [x*e* ]dx + [ }x³ ye ]dy = 0 %3D %3D %3D

Q: Determine the general solution of the following differential equation: (D²-2D+1)y = 35x(3/2) ex O A.…

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Q: Which of the following most nearly gives the general solution for the differential equation (D² – 4D…

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Q: Which of the following differential equations is NOT exact? Select one or more: a. (x² + 2xy)dx + x²…

A: To Determine: which of the following differential equations is NOT exact? Given: we have 5 options…

Q: Which of the following is the general solution of the differential equation y (iv) +21y"-100y=0? O…

A: We will find out the required solution.

Q: Solve the following differential equation: dy x+2y-4 dx 2х-у-3 Select one: a. In\x-2|+c=-0.5ln 1+…

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Q: Solve the following differential equations 1. (D² + D)y =- cos x 2. (D² – 6D + 9)y = e3x 3. (D² +…

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Q: Find the particular solution of the differential equation given that, when x = 0, y =-4 and Q3 *…

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Q: A Bernoulli differential equation is one of the form dy + P(x)y = Q(x)y". da Observe that, if n = 0…

A: By using substitution we have to convert it into linear equation and then solve it using integrating…

Q: Which of the following ordinary differential equation is equivalent to this first order system? x' =…

A: Given : first order system of differential equations              x'=x-2y              y'=-2x+yTo…

Q: Solve the following second-order linear differential equations by the method of reduction of order.…

A: (1).   The given differential equation is: D2+1y=csc(x)

Q: Which of the following differential * equation is linear, first degree, order 2, and the dependent…

A: We can find the answer in the below steps.

Q: 1. Solve the following differential equation a) 3(3x2 + y²)dx – 2xydy = 0 %3D b) (x – y)dx + (3x +…

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Q: The solution of the following differential equation by separation of variables y' = xy is: O a. y =…

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Q: Which of the following is a solution of the differential equation dy - 6 dx + 9y = 0. 1. y = e -2х…

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Q: Determine which of the following Differential Equations below would use the following general form…

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Q: Solve the following differential equation: dy _ x+2y-4 2х-у-3 dx Select one: +2tan 1(1) x-2 a.…

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Q: Which of the following differential equation is non linear, second degree, dependent variable is y,…

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Q: The following second order linear differential equation which will be found by the method of…

A: Consider the second order linear differential equation y''-6y'+9y=7xe-3xcos(x)+6x2e3x To find the…

Q: Solve the following differential equation: ex y'"-2y' +y= x2+1 Select one: a. YG.s= C,e*+c2xe* –…

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Q: Find the value of k so that the given differential equation is exact. (³+kxy-2x) dx + (3xy² +…

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Q: For the differential equation (D- 4) y% = 4) y = 5e %3D ,a particular solution is given by O 1 =0 O…

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Q: Solve the following first order differential equations, clearly showing all calculation steps dy…

A: Given that differential equations and we find the solution of this differential equations by using…

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: Consider the non-homogeneous differential equation (D)y = F(x) where it has m³ – 3m? + 3m + 7 = 0 as…

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Q: (xy2+x2)dy+ydx=0

A: As per the company rule, we are supposed to solve one problem. Therefore kindly repost the remaining…

Q: Which of the following most nearly gives the general solution for the differential equation (4+y+)dx…

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Q: What differential equation corresponds to an RC circuit with a resistor of R = 10n and a capacitor…

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Q: State the order of the given ordinary differential equation. d?y dy V1 + dx %3D dx2 Determine…

A: 1. d2ydx2=1+dydx52. an(x)dnydxn+ an-1(x)dn-1ydxn-1+.......+ a1(x)dydx+a0(x)y=g(x)

Q: Which of the following is a solution to the differential equation y" + y = 0 ? a. e*(C, cos x + C2…

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Q: State the order of the given ordinary differential equation. (1-x)y" 5xy' + 7y = cos x Determine…

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Q: Find the general solution of the following linear differential equation:…

A: The given differential equation,     2d4ydx4-3d3ydx3-2d2ydx2=0

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: 1. y(4x + y) dx - 2(x2 - y) dy = 0 %3D

A: We have y4x+ydx-2x2-ydy=0 This can be written as 4xy+y2dx+-2x2+2ydy=0 A differential equation of the…

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: Consider the differential equation [a2 – (x³ + y³)2/3 ] dæ + y? dy = 0. - This is not an exact…

A: A differential equation can be solved using the variable separation method. In this method, the…

Q: Solve the following system of differential equations with the given initial conditions, and then, to…

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Q: Which of the following is the Euler differential equation whose general solution is y = c,x² + ? а.…

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Q: Solve the following differential equation: (3y-7x+7)dx+(7y-3x+3)dy=0 Select one: 2 a. 7In|( X-1…

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Q: Solve the given differential equation by finding an appropriate integrating factor (x² + y² + x)dx +…

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Q: Which of the following is a solution to the given differential equation: dx-1+ óye*" Jdy = 0 O a.…

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Q: Which of the following differential equations has the function x²-y²+2xy=c as its solution? A y'=y-x…

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Q: Given the differential equation dc k 16 (c, - c) | dt tb where k and c, are positive constants and b…

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Q: Which of the following differential equation has a solution as O a y" +3y"+ 4y 0 O b. y"-3y" - 2y'…

A: In this question we will use basic of calculus i.e concept of solution of higher order differential…

Q: Given the second order differential equation xy"-2xy+2y = 2xe 11. What is the complementary…

A: Topic = differential equation

Q: Which of the following is the general solution for the differential equation: y" + y – 6y = 0 where…

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Q: Solve the following linear differential equation xy -y+2x CAy=3x+cx y-x+c Cy-x+cx CO. ENon of the…

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Q: Which of the following differential equations is exact? Select one: O (7x + 6y) + (5x – 2y)y о (7ӕ —…

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Q: Solve the following Cauchy-Euler differential equation: x'y-3xy 3 In(x)-4, x>0 1. Possible answers…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.