Determine the General Solution of ye2x dx = ( 4+e2x ) dy %3D

Q: (5x2 – y) dx + x dy = 0 (5x2 – y2) dx + 2ydy = 0 %3D

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Q: Find the differential equation of dy 2y-y dx X-y

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Q: Use the "integrating factor" method to solve the differential equation below. dy + 3x?y = -6x² dx |

A: We know that, the first order linear differential equation is given as dydx+Px·y=Qx           ⋯⋯1…

Q: 1. Find out the integrating factor and solve: x dy + (3x + 1) y dx e-3* dx.

A: First we will write the given differential equation in form of linear differential equation then we…

Q: xdy +(y– xy+2)dx = 0

A: The given differential equation is; xdx+(y-xy+2)dy=0

Q: dy = y³ – x³. %3D dx

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Q: 2. Solve the ff. equation using integrating factor. dy 2y – e3r dx

A: Given: dydx=2y-e3x

Q: Solve the initial-value problem. dy for x21 with y(4) = 4 %3D dx The solution to the initial-value…

A: We have to solve the initial-value problem: dydx=5x Solving by variable separable method,…

Q: Find an integrating factor and solve: y²dx + (3xy + y² – 1)dy = 0

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Q: Use separation of variables to find the general solution of the differential equation. 18y8 dy = 8x?…

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Q: Solve the differential equation Integrating Factor by Inspection: xdy – ydx = 3x²(x² + y²)dx

A: We have to solve the differential equation xdy-ydx=3x2x2+y2dx by using integrating factor by…

Q: 3. dy = (x – 3y)dx

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution is: ∫Md⏟Take 'y'…

Q: Part II Solve the initial value problem. (y°cosr– 3x?y– 2x) dx+ ( 2ysinx – x³ + Iny) dy = y (0) = e…

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Q: 2. Obtain the general solution using Bernoulli's equation. Si l + x/ dx – 6x dy = 0

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Q: Solve the differential equation below: (3x²+y²)dy + (x²+3y³)dx=0

A: Given:     (3x2+y2)dy + (x2+3y2)dx = 0

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

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Q: Find the General Solution of this Differential Equation 2. dy/dx - y/x = y°

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Q: Solve the differential equation Integrating Factor by Linear Equation: dy — у — 5х* — Зх? + 2х — 0…

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Q: Find the differential equation of dy/dx = x+y/x-y

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Q: Use an appropriate substitution to find the general solution of the differential equation dy = (x +y…

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Q: Solve the differential equation below. (2xCosy+3x?y) dx+ (x³-x²Siny-y) dy=0

A: The solution is given as

Q: SHOW YOUR SOLUTION: Solve the constant of integration of the given differential equation xdi+6ydy=0…

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Q: This differential equation can be solved by? dy dx What is the integrating factor of: y2 dx + xy dy…

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Q: x - yArctan | dx + xArctan ) dy = 0 %3D

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Q: 3. General solution of (ylny - e-xy)dx + ( + xlny) dy = 0

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Q: Find the differential equation whose general solution is y = cvh x + cv2 e^x %3D

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Q: Given the differential equation dy +y dx=2xy-e* dx what is the value of the integrating factor?

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Q: Solve the initial value problem dy/dx=2x−1x2, x≠0, y(1)=5.

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Q: Can i get help step by step?

A: To determine the solution of the initial value differential equation.

Q: Solve the initial-value problem. dy for x20 with y(0) = 2 5 dx The solution to the initial-value…

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Q: 4. Solve the Bernoulli DE: dy + y = e*y¬?. dx x.-2

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Q: What is the integrating factor for the differential equation? у'%3D ху + 8 µ(x) : %D

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Q: Use a technique of integration or a substitution to find an explicit solution of the given…

A: To find the solution of the differential equation we use the method of separation of variables. We…

Q: Use separation of variables to find the general solution of the differential equation. dy 5x2 + 7 dx

A: Given:

Q: Solve the given differential equation by separation of var X- dx xdy = 2y

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Q: Solve the initial value problem: dy/dx= (1/(2sqrt(x)))+2 y(1)=3

A: Solving the initial value problem.

Q: Use separation of variables to find the general solution of the differential equation. e*(y' + 4) =…

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Q: 5. dy = (x³ – 2xy)dx %3D

A: The solution is given as

Q: Solve the differential equation dy dx - =x + x – 3, if y = 0 when x = 2. 3 %3D

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Q: Solve using separable differential equations dx 1 dt хet+2x

A: Using variable separabale method of differential equations.

Q: ev dy Solve the initial value problem given by y(1) = 2. %3D dx y

A: Differential equation: A differential equation is an equation which involves one or more derivatives…

Q: x (xdx + ydy) + y (xdy – ydæ) = 0

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Q: solve the bernoulli equation dx +1x' + = 0 +tx dt

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Q: Solve the differential equation using inspection method d'y d³y = 24. dx5 dx³

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Q: Find the general solution of the differential equation (x* + 2y*)dx – xy³dy = 0

A: The given diffrential equation is (x4+2y4)dx-xy3dy=0

Q: olve the initial value problem by standard method  (x^2+3y^2)dx-2xydy=0,  y(2)=6

A: We need to solve differential equationx2+3y2dx-2xydy=02xydy=x2+3y2dxdydx=x2+3y22xy

Q: (y* – xy)dx + (xy³ + x²)dy = 0

A: Solution is given below:

Q: Find the general solution of the differential equation. Use C for the constant of integration. dy dx…

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Q: Use separation of variables to find the general solution of the differential equation. dy 6x4 + 7 4…

A: To find the solution of the given differential equation first we seperate variable.dy, y terms to…