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Q: dy =/x y+5v xy is a Bernoulli equation dx The DE: Select one: True False

A:

Q: 5. Find the general solution of the given DE: 2x + 2xy2 y + 2x?y dy dx

A: First We will separate X and y terms of the given differential equation and than integration gives…

Q: Find the solution to the DE. (y- x+ xycotx)dx + xdy=0

A:

Q: :Solve the differential equuation (1+ e" )dx + e 1- dy = 0 y

A: Given

Q: Find the general solution of the given Attached equation

A:

Q: Find the general solution of this DE: yyx = e¬4y sin /x dx

A:

Q: Solve D.E using Exact from first order 2.xy dx +(x² +3y²)dy

A: To solve the given differential equation.

Q: Solve D.E using bernouliis equation os(y)·y' + sin(y) =x

A:

Q: dy - y = x y2 In x dx

A:

Q: dr - (x- 2) ey dy = 0

A: Given Differential equation is linear. We will solve it by finding integrating factor

Q: If z + In(e2x - e + e²) = 0 dz find at the point (0, 0) dx 2 0 -3 -2

A: see below the calculation and answer

Q: Find the differential dy of the given function.

A:

Q: x'e* cos 3xdx + -dy = 0 Vỹ - 1 %3D

A: In this question, we solve the separable differential equation by direct integral. the differential…

Q: solve D.E. by using Linear (y? + 1)dx + (2xy+ 1)dy= 0

A: See the attachment

Q: Solve the Bernoulli Equation x² dy + y? = xy dx

A: NOTE: Refresh your page if you can't see any equations. . divide both sides by x2 .............(1)…

Q: (x² + 6y²)dx – 4xydy = 0,x = 1, y = 1 -

A:

Q: B) Find the general solution to the following DE. dy y? + x2 = 0 dx

A: Given differential equation is y2+x2 dydx=0

Q: (xy)dx + e*dy = 0, as xo, y =D;

A: Given:- (xy2) dx + ex dy=0 To find:- Particular solution of given differential equation

Q: Solve the Ro liowing B E 2 X + 2 -zey= zX

A:

Q: (2xy +y) dx + (x²- x ) dy = 0

A:

Q: Solve the following bernoulli equation dy/dx +y/x =xy^2

A:

Q: The Degree of the differential equation: d²y dªy V dæ4 sin x is_ dx? O 2 O 4 O 1 O 3

A:

Q: Find the general solution dy y cos a + 3xy %3D dx

A: We solve the given differential equation by separation of variables.

Q: non m Q4) Solve the D.E= %3D dx ya

A: Differential equation

Q: 1. Solve for y, using the method of successive approximation. dy dx = x + y; y(1) = 1

A:

Q: Express æ = e-t, y = 2e2" in the form y = f(x) by eliminating the parameter y =

A:

Q: If we solve the DE y dx + 2 x dy 0 alter converting it to Exad using an

A:

Q: 1. Find the general solution of (y? – 1) = 4xy? dy %3D dx

A: Topic:- differential equations

Q: Solve this on І Гжу. d = y T2 x y Sin mx Sin ny dx dy =?

A:

Q: 4 dy 5. х dx + бу %3D 3хуз 3xy

A:

Q: Solve the D.E  dy/dx=2exy3 , given that y(0) =1/2

A:

Q: 3. Show that the equation (x²y)dx + () dy = 0 is exact and then solve it.

A:

Q: dy Solve the differential equation y dt +2y cos(t) = ye'.

A:

Q: If xy + ey = e, find the value of yn at the point where x = 0.

A: xy + ey = eWhen x = 0,  ey = e = e1Hence, y = 1

Q: 2xdy + y(2 + xy²)dx = 0 %3D 1 when x = 1 & y= 2

A: Given equation is 2xdy+y(2+xy2)dx=0 and y(1)=1/2

Q: Find the general solution of the following exact differertial equation (e Ax + 2xy²)dx + (cos y +…

A: Givne that  The following differential equation  (e^4x+2xy^2)dx+(cosy+2x^2y)dy=0  To find the…

Q: dy Solve the initial – value problem: = y² given that f(0) = -1 dx %3D

A:

Q: хуз dx + e** ,3 dy = 0.

A:

Q: II. Solve the following first order DE. (x² + y²)dx + xy dy = 0 4.

A: Explanation of the solution is given below...

Q: dy %3D 3 e*y* dx +

A: Givendydx+y3=exy4To Find:Solution of a given Bernoulli's equation

Q: Solve the Euler equation d²y dx dy -5y = 0 dx 31 d', 3x2 given that y(1) =1 and y'(1) = 2. intai

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Q: Solve D.E using bernouliis equation r'y-x'. dy x'y-x' . dx = y* · cos(x)

A:

Q: y? – a? -, y(1) = -V2 dx dy xy

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Q: Solve the given dy=x√ e+~

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Q: Solve xy( 1 + x y? ) = 1 by using Bernoulli's equation. %3D dx

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Q: Solve the homogenous DE Solve: xy dx - (x + 2y)^2 dy = 0.

A:

Q: d²y The degree of the the differential equation dx? dy =y is 2 dx Select one: True False

A:

Q: The order of the differential equation: d'y + S ydx = sin x is_ dx4 d°y O 4 O 10 O 9 O 16

A:

Q: dy + 4y = t cos 2t dt? Solve the differential equation

A: The solution is given as