Check if the equation is exact or not. If it is exact, solve. If it is not exact, solve for the integrating factor then solve. (use long method on solving the exact equation) 1. (y* + 2y)dx + (xy + 2y* – 4x)dy = 0 2. (x? + y? + 3)dx – 2xydy = 0

Q: 3. Show that the equation below is an inexact equation. Find the integrating factor in terms of t…

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Q: Solve the differential equation by using integrating factors. xy' = 4y + x2 y(x) =

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Q: Use substitution by inspection to solve for the differential equation. (do not use other methods)…

A: We have to solve the differential equations xy(y2+1)dx +(x2y2-2)dy=0 by inspection

Q: 3. Show that the equation below is an inexact equation. Find the integrating factor in terms of t…

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Q: Find an integrating factor and solve the equation y dx + (4xy – e4) dy = 0. NOTE: Do not enter an…

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Q: Find the particular solution

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Q: Solve the given differential equation. All solutions should be found. dy e5x+11y = dx NOTE: Use c…

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Q: Analyze what solution you will use whether it is bernoulli's equation / solution by substitution /…

A: Let's find.

Q: Find an integrating factor and solve the equation y dx + (8xy - e-8y) dy = 0. NOTE: Do not enter an…

A: The solution is given as

Q: solve linear differential equations Solve. 2 +-y = x – 1 dy 2 dx

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Q: Solve the given differential equation. Find an implicit solution. Use c for the constant of…

A: We have to solve given problem:

Q: 9. x²y³ + x(1 + y²)y' = 0, µ(x, y) = 1/xy³

A: Topic - Exact Differential Equation  A differential equation M d x+ N d y=0 called exact if…

Q: Solve the given differential equation. All solutions should be found. dyx³ 8y dx X NOTE: Use c for…

A: As we know that; The standard form of 1st linear order differential equation is: dydx+Pxy=Qx So, the…

Q: Test the equation below for exactness. If exact, solve. If not, use an integrating factor (find it…

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Q: Find the integrating factor u(x) and solve the differential equation (integrating as a total…

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Q: Check if the equation is exact or not. If it is exact, solve. If it is not exact, solve for the…

A: The solution is as follow

Q: Q2/Test whether the differential equations are exact and solve those that are. (Answer only two) -y2…

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Q: Use integration to find the general solution of the differential equation. (Use C for the constant…

A: Given

Q: Solve the given differential equation. All solutions should be found. dy = el* + 9y dx 7x NOTE: Use…

A: See this solution below

Q: solve this differential equation Xdy/dx=y+root( X^2 -Y^2), x>0

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Q: Solve the given differential equation. All solutions should be found. dy e7a + 12y dx NOTE: Use c…

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Q: xdy + ydx + xy(3dx + dy) = 0 IC:x = -3,y = 9

A: This question is related to differential equation. Solve in step 2

Q: Find the general solution of the differential equation. (Enter your solution as an equation.) dy dx…

A: From the given data:

Q: Solve this differential equation y (x^3-y)⁡ dx-x(x^3+y) dy=0; when x=2,y=2

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Q: Solve the given differential equation. All solutions should be found. dy etz + 7y dx 4.x NOTE: Use c…

A: The given differential equation,      dydx=e4x+7y

Q: Solve the given differential equation. All solutions should be found. dy x3 – 6y dx NOTE: Use c for…

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Q: Solve the differential equation. ху" - 2у - х?, х>0

A: We convert the given differential equation into linear differential equation form. See attached file…

Q: Solve the given differential equation. All solutions should be found. x - 4y dy dx X NOTE: Use c for…

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Q: Solve this differential equation: (xy-y)dx+(x^2-2x+3y)dy=0; when x=1,y=1

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Q: Solve the given differential equation. All solutions should be found. dy 3x = e +9y dx NOTE: Use c…

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Q: Solve the given differential equation. All solutions should be found. 3x²–9y-y³ dx 9x+3xy² Do not…

A: Solve, as follows:

Q: Use integration to find a general solution of the differential equation. (Use C for the constant of…

A: The given function is ,  dydx=x8ex9. To determine the general solution of the function integrate the…

Q: Solve the given differential equation. All solutions should be found. x6 - 4y x dy dx NOTE: Use c…

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Q: Solve the given differential equation. All solutions should be found. dy 3x = e³x + 7y dx NOTE: Use…

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Q: An integrating factor is μ(y) = The solution in implicit form is = c, for any constant c.

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Q: Solve this differential equation. F. xydy-(1+2y^2+y^4 )dx=0;when x=1,y=0

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Q: Solve this differential equation. (3y-2x)dx-(2y-x)dy=0;when x=1,y=2 Thank you

A: Explanation of the answer is as follows

Q: Solve the differential equation by variation of parameters. y'' + 2y' + y = e−t ln(t)

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Q: Solve the given differential equation. All solutions should be found. dy e5x =e dx NOTE: Use c for…

A: We have to solve the given differential equation dydx=e5x+10y .

Q: Solve the given differential equation. All solutions should be found. dy e9 +13y da NOTE: Usec for…

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Q: Use integration to find the general solution to the differential equation. (Use C for the constant…

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Q: Solve the given differential equation. All solutions should be found. dy x6 – 4y - dx NOTE: Use c…

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Q: Find the general solution of the differential equation y" - 2y' - 3y = -9te-t. NOTE: Use c₁ and c₂…

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Q: Determine whether the given differential equation is exact, If it is exact, solve it. (2ysin x cos x…

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Q: Solve the differential equation dR a(R² + 4). dx Assume a is a non-zero constant, and use C for any…

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Q: (ylny − e¯xy)dx + ( + xlny) dy = 0 -

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Q: Solve the given differential equation. All solutions should be found. dy_ x - 4y dx x NOTE: Use c…

A: Let's solve given differential equation.

Q: Solve the given differential equation. All solutions should be found. dy e³x + 7y = e dx NOTE: Use c…

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Q: Solve the differential equation. (Use C for the constant of integration.) 4x2 dy dx V2 + x .3 %3D

A: See below the answer and calculation

Q: y+ (2x − ye³)y' = 0, μ(x,y) = y

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