Identify the equation as separable, linear, exact, or having an integrating factor that is a function of either x or y alone. (2x+2y)dx + (2x-2y)dy = 0

Q: Find the linear approximation at x = 0 to Write your answer in the form y = Ax + BỊ.

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Q: Determine whether it is stable or unstable. D) dx₁ dt = 3x₁x2-x1 + x2 dx₂ dt =x²-x₁

A: D Given system of differential equation is dx1dt=3x1x2−x1+x2dx2dt=x22−x1 We have to determine…

Q: - Find the linear equation that satisfies the following: f (3) = 10 and f(5) = 24 %3D I

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Q: x -Jx-15 = 3 Salvethe equation

A: We have to solve the equation                                              x-x-15=3

Q: Solve x + (3x + 1)y=e-3x dx Select one: O a. y = xe-3x + ce-3x O b. y = e-3x + cx-¹e-3x O c. y=e3x +…

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Q: dy Find a solution to = xy + 6x + 4y + 24. If necessary, use k to denote an dx arbitrary constant.…

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Q: Jx -Jx-15 = 3 JX-15 =Jx - 3 X-15= Salvethe equation

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Q: 1. Convert the following difference equation into a first-order form: Yt = Yt-1 + 2yt-2(Yt-3 – 1)

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Q: (3x² In x +x² - y) dx – xdy = 0, y(1) = 5

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Q: Transform the linear equation into its standard form and evaluate the DE. xdy-dy=(3x²-3x)dx-ydx

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Q: Classify the equation as separable, linear, both, or neither.

A: ydydx=2x+y

Q: Solve the first order equation (3r²y + 2ry)dz + (z³ + x² + 2y)dy = 0.

A: In the given question, the concept of the differential equation is applied. Differential Equation A…

Q: calculate y′′ and y′′′ 3. y=x4−25x2+2x

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Q: If y is a function of x and y3 + y2 - 5y - x2 = -4, find dy/dx implicitly.

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Q: xdy/dx + xy + y − x3 = 0

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Q: Find the solution. dy x3- 2y dx xy= 3x3 2y2 +

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Q: Solve the following first order equations: (a) (x²y² + 1)dr + 2r²dy = 0, use the substitution ry =…

A: We have to solve 1st order differential equation using substitution xy = u.

Q: 1 If (м - ох) - - - . then what is the integrating factor ду ?х/ м

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Q: Determine whether the equation (3x + 2y)dx + (2.x + y)dy = 0 is exact. Find the solution if it is…

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Q: хdу — dy %3D (3x? — 3х)dx — ydx

A: The solution is given as

Q: State the order and determine whether the equation is linear or non-linear. 피(음) + ()' (d²y dy - y =…

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Q: 2. (2y? + 2 In x +1) dx +2xydy = 0 %3D

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Q: . Solve the first order equation (3z²y + 2ry)dx + (x³ + x² + 2y)dy = 0.

A: Solution

Q: Solve xdx + (y – 2x)dy = 0.

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