dy 2x+xy dx у2+1

Q: 4. Which of the equations are exact? I. 2x(y+1)dx=(y-x')dy II. xdx - Va-xdy 0, where a is a constant…

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Q: Solve the equation. 3 2 dx ² = 6x² (9+ y²) An implicit solution in the form F(x,y) = C is = C, where…

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Q: a) Find the general solution of the given equations of the line (2x - 5y + 10)dx+ (7x + 3y - 8) = 0

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Q: " Show that the substitution JAx + B| = 'e², or z = In |Ax + BỊ, will reduce the equation dy a(Ax +…

A: I have used the given substitutions to reduce the equation

Q: the general solution of DE d2y/dx -5dy/dx+6y=e4x

A: I have used method of undermined coefficient to solve the differential equation

Q: A. Find the family of solutions of the following equation using linear differentic equations. 1. y'…

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Q: Solve the Bernoulli equation. -2. xy' + y =y, x>0 The solution is y = %3D

A: Follow next step

Q: Find the complete or particular solutions of the following dif- ferential equations: 4x + xy 1. dy…

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Q: Obtain the general solution to the equation. (x²+2) dy dx + xy-7x=0 The general solution is y(x)=,…

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Q: Given that x- y2 = 9, then dy/dx =||

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Q: Determine equuation is escact.if it is then Solve it whether the given 3) dx=(223y+4)dy जिचट)

A: Consider the given equation. 2xy2-3dx=2x2y+4dy Further, simplify. 2xy2-3dx-2x2y+4dy=0 The general…

Q: Determine whether the equation is exact. If it​ is, then solve it. (1/y)dx-(7y-(x/y2))dy=0

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Q: Find the general solution of the equation below. Then, find the particular solution which satisfies…

A: To find  The general solution of the given differential equation.

Q: Find solutions using Exact Equations 2. Solve (3x*y? – x²)dy + (4x³y3 – 2xy)dx = 0

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Q: 8. (e* sen y + 3y) dx – (3x – e* sen y) dy = 0 %3D

A: Exact differential equation

Q: Use appropriate substitution to reduce the following equation to a variable separable and then dy 3x…

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Q: rydc+(2x2+3y2-20)dy=0

A: Given DE is xy dx+2x2+3y2-20dy=0 solve the given DE

Q: Consider the equation, test whether it is exact and solve the IVP.        x(x-y)dy = y(y-3x)dx…

A: Solution:  Step I:    xx-y dy =yy-3xdx     y-1=1 Now,    xx-y dy=yy-3x  dx    dydx=yy-3xxx-y  Let…

Q: Obtain the general solution to the equation. dy y dx = - + 5x + 6 X The general solution is y(x)=,…

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Q: Check whether the given first order linear diff equation is homogenous or exact or separable or none…

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Q: Solve each of the equations. Integrating Factors 3x?y + 3y dx + (2x3 + 6In х) dy %3D0

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Q: (iv). (2ry? + 3a²)dx + (2a²y+4y²)dy = 0 %3D

A: We have to state the order and check it it is exact or not.

Q: identify the substitution equations and solve the solution 2( x–y)dx+dy=0

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Q: Obtain the general solution to the equation. dx + 6x = 9y8 dy The general solution is x(y) = y-…

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Q: dy Зx? (1 + у? dx )/2

A: Firstly separate the variables in the given differential equations and integrate.

Q: (a) Given Bernoulli equation xy' + 3y = 6x³, solve for appropriate solution.

A: For the differential equation of the form, dydx+P(x)y=Q(x) , the integrating factor, μ(x) is…

Q: e.Find the solution of equation (29) by replacing v by y/x  dy/dx =( y − 4 x)/( x − y) .

A: Given differential equation is dydx=y-4xx-y Given equation is homogeneous differential equation.…

Q: 23.Solve the equation dy/dx=(ay+b)/(cy+d), where a, b, c, and d are constants.

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Q: Write the given Bernoulli equation in standard form and Solve the equation t2 + 3y? y' t > 0. 2ty

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Q: dy 1 3x? 1. %3D xp 1+ X' 1+ X?

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Q: Solve the equations and simplify the final answer. 1. (6x – 3y +2) dx + 3(x + 3y – 4) dy = 0

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Q: dy %3| 6x5-2x+1 dx cos y+ey

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Q: Solve the equation 3x(xy – 2)dx + (x³ + 2y)dy = 0 ƏM = 3x2 ду Ne 3x2 Sol/ əx f(x, y) = (3x²y – 6x)dx…

A: From the given differential equation: 3xxy-2dx+x3+2ydy=0 As we know that the differential equation…

Q: Solve the following Bernoulli Equations. (Complete solution) a. (3x − 2y + 1)dx + (3x − 2y + 3)dy =…

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Q: Which of the following equations is variable separable? a. (x2 + y?)dx – xydy = 0 O b. (3x? – y?)dx…

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Q: dx + y²x = x?y dy

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Q: Given that x2- y² = 9, then dy/dx D %3D

A: To find out the dy/dx

Q: FIND THE PARTICULAR SOLUTION: SHOW SOLUTION AND PROVE THAT THE EQUATION (y4-2xy)dx+3x2dy=0; when…

A: We have to find the solution

Q: Which of the following equations is variable separable? O a. (3x2 – y?)dx – 2xydy = 0 O b. (2² +…

A: An equation is called variable separable if we can separate the variables x and y.

Q: Solve the deferential equations dy x2. = xy – y? dx

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Q: dy y(ln y – In a + 1) dx

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Q: (3x ?y- ux) dx + (x°+ 2y) dy = 3.

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Q: I Solve the di fferential equations ( 2x-5y+12) dx +(7x-4y+15) dy - o 2.

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Q: dy 15. + ²y=t²y²

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Q: 3x(xy – 2) dx + (x³ + 2y) dy = 0

A: Given differential equation is     3xxy-2dx+x3+2ydy=0

Q: 2. (6x – 3y +2) dx + 3(x + 3y – 4) dy = 0

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Q: z Solve the following di fferential equations xdy y x²+y² 1. dy

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Q: Solve the following equation to obtain the family of solutions.Show your solution. (2x³-xy²-2y+3)dx…

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Q: dy Solve: (e +e-²)- = y? (separation of variables) dx

A: We want to solve the given differential equation.