dy_ 2.x(1+ y²) dx 1+x?

Q: Use variation of parameters to solve the following differential equation for r'y" – 5xy + 5y = r³…

A: x2y'' -5xy' +5y=x3+x2A second order Euler non-homogeneous ODE has the form of ax2y''+bxy'+cy=gxThe…

Q: 3. (x4 + 2y)dx = xdy

A:

Q: Find the general solution of the differential equation and check the result by differentiation. dy =…

A: Given, dydt=64t7

Q: Find a suitable integrating factor (x) or uy) and show that the following differential equation is…

A: The given differential equation is  y2+xy3dx+5y2-xy+y3sinydy=0

Q: 4. dx + (x- y + 2)°dy = 0

A: Solution is given below...

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: Solve the following differential equation using determination of integrating factors: 2y (x2 - y +…

A:

Q: Find the general solution of the differential equation below and check the result by…

A: Given : dYdx = 12x2+4x

Q: By using the integrating factors, solve the initial-value problem that consists of the differential…

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Q: (x4 + 2y)dx = xdy

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Q: 2 dy + y? = ty. dt

A:

Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

A: The given differential equation is: dydt=45t4

Q: (1tex)yゾーeX = o

A: Use separable variable method

Q: Find the integrating factor for the following differential equation dy coSx- dx - (sinx)y = x

A:

Q: Evaluate the given differential equation (3siny – 5x)dx + 2x°coty dy = 0

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Q: Use the integrating factor technique to solve the following differential equation and its initial…

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Q: What will be the Integrating Factor for the following differential equation if compaired dy + x?y=2x…

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Q: y se, SinX+G Cnn

A: Explanation of the answer is as follows

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

A:

Q: 7. (xy² – 2y)dx + (3 – 2xy²)dy = 0

A:

Q: dy sin x dx Cos cos y

A: Solution:

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

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

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Q: 8. ydx + (x² + y² – x)dy = 0

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Q: (y – 2)dx = (y – 3x)dy

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Q: dy dx 1+x

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Q: dy Vx ev+Vx¸ x > 0 %3D X dx

A: To Find the seperable differential equation

Q: solve the following first order ordinary differential equation using an integrating factor method.…

A:

Q: Given the differential equation dy +y dx=2xy²e* dx, what is the value of the integrating factor?

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Q: Solve the following differential equation Integrating Factor by Linear Equations: dx/dy + xcoty =…

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

A: The given differential equation: dx=x9y dy

Q: 6. (3x²y+ 2xy + y³)dx + (x² + y²)dy = 0

A:

Q: (y – 2)dx = (y – 3x)dy

A: The solution is given as

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

A:

Q: use an integrating factor to solve the given differential equation. dy 5x 4y = Ce - dx

A: Use the mentioned method.

Q: Find the general solution of'the differential equation and check the result by differentiation. (Use…

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Q: Obtain the general solution of the following differential equations.

A:

Q: dy = (x – 3y)dx

A: The given differential equation is: dy = (x-3y)dx We need to find the integrating factor for the…

Q: State the order of the given ordinary differential equation. dzy dx2 dy V 1 + dx

A:

Q: Find the integrating factor for the following differential equation dy sinx + (cosx)y = x dx

A: We are solving the first question and for the next question post the question againand also mention…

Q: Find the solution to the differential equation that passes through the origin. z(t) = dz dt = 6te42

A: dzdt=6te4z⇒e-4zdz=6tdtIntegrating both sides we get,⇒zt=-ln-12t2-c14

Q: The appropriate integrating factor for the following differential equation (3xy – y?)dx + x(x - y)dy…

A:

Q: Find the Particular integral of the given differential equation d²y dx2 3x dx +5y sin(Inx) %3D

A:

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

A: To get the general solution , put all the y terms together and x terms together

Q: (1 + xy)dx = (1 + x?)dy

A: The solution is given as

Q: Solve the given differential equation by separation of variables. dx y In(x) dy y + 1\2 %3D

A: Given : yln(x) dx/dy = ( y+1 / x )2

Q: dy = 3x dx

A:

Q: dy Cos ス + Sinx dx Y Lny

A: Use separable variable method