Rel Work Solution y36/5 y=-4/5

Q: Find the solution of the homogenous equation: 2(2x2+y2)dx-xydy=0

A: The given differential equation is  2(2x2+y2)dx -xy dy=0

Q: y"– 2y' + 1 = (x + 1)e²x

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Q: 13 [* Vx2 +y dydx 00

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Q: * x' V5 -x°dx

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Q: y" – 2y + y = 1+x?

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Q: Obtain the general solution y

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Q: y" - 6y' + qy 2,

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Q: fud General Solution dy-3y=

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Q: 18. V1+x dx 1-X

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Q: y'" — 7y' — бу = 0

A: Solution :- This higher order differential equation can be solved simply by using complementary…

Q: Find the general solution of y’ + (1/3)y = exy4

A: We have to find the general solution of the differential equation y'+13y=exy4 .

Q: Use variation of parameters to find a particular solution of y"- 2y' +y = 14xie" Yp(x)

A: y''-2y'+y=14x32ex find the roots for the homogeneous system  r2-2r+1=0 r-12=0 r-1=0 r=1 for one real…

Q: Solve and specify method used. x dy y dx х3 dx y2

A: Given DE is (x dy - y dx)/y2 = x3 dx  We solve this DE and we specify the method used.

Q: dy 2x = (3y + x)- dx

A: Given, 2x=(3y+x)dydxdydx=2x3y+xPut y=vxDifferentiate…

Q: Use variation of parameters to find a particular solution of y"- 2y' + y = 14xie Yp(x) =

A: Auxiliary equation for the given equation:

Q: dx Vx-4x-7 S- -dy y2-8y+5

A: The given integrals are' 1)1/sqrt(x2-4x-7)  2)7/(y2-8y+5).

Q: How do I integrate the following equation? U(z)=2.8*exp(-z/6300)

A: Consider the given equation as Uz=2.8*e-z6300

Q: Obtain the general solution. 1. y' = xy?

A: We will find out the required general solution.

Q: Solve by integrating factor by inspection: * 2ydx – 3xy dx – xdy = 0 - x' +x*y = c x³ + x²y² = c…

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Q: Obtain the general solution. (xy + x) dx = 2 2 y + x + y¯ +

A: The given differential equation is…

Q: y" -4y' + 13y :

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Q: Find the general solution of the equation xy' = ky that is valid for x > 0.

A: We have to find y(x) for this equation which is valid for x>0. We use integration to solve this…

Q: If find the value of a. 3 S₁ S² (x + 2y) dydx = 10, 0 a

A: Given: ∫01∫a3(x+2y)dydx

Q: 2. Solve by using an integrating factor. (a) y' + 2ty = 2te¯ %3D

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Q: Find the general solution to  y''+ y' = 1 + 2sin(2t)

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Q: 2. (D² - 3D + 2)y=1+x

A: The given differential equation is;  (D2-3D+2)y=1/(1+e-x).

Q: Solve dy = (1+ 3ytan a) da

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Q: 2. Find the solution of 2x³y' = y (3x*+y?). Use Integrating Factors Found by Inspection.

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Q: Determine the solution of 2x (y+1)dx−ydy=0

A: Determine the solution of 2x (y+1)dx−ydy=0

Q: KO 1. Solve the equation: (x + xy²) dx + exp(x²2)y dy = 0 %3D

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Q: The solution of (xy – ) = y³e-x² dx

A: The solution of the differential equation is defined as the function that satisfies the equation.…

Q: Solve (x-y)dy=ydx

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Q: Solve 5 2 E #(0) = – 2, y(0) = = 10 | Ly' - 29 - x(t) = %3D y(t) =

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Q: Give the general solution of: dw/dx + (4w)/x = x3

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Q: x²- y2)dydx a.

A: Solution :-

Q: y, = x2 + 2x + 2 Y2 = 2x + 18 dx 25- 20 15 y 10- 5- 6.

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Q: Use variation of parameters to find the general solution of y′′−2y′+ 2y=(e^x)csc(x)

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Q: Obtain the general solution valid near the origin: x(х — 2)у" + 2 (х — 1)у' — 2у 3D0

A: The differential equation has singularity at the origin. So we find the solution by Frobienius…

Q: x In x dx Show that , V4 – x² dx = (2n + 3v3).

A: Part (a) Given integral is ∫12xlnxdx

Q: Solve for the General Solution. ( x csc y/x-y) dx + x dy = 0

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Q: Solve Yor メ= o-5 X (6)=0 %3D dy

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Q: (Think homogeneous) Solve explicitly (y² - xy) dx + x²2dy = 0

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Q: 5. (y-2)dx-(x-y-1)dy 0

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Q: Use variation of parameters to find a particular solution of y'' - Y = 4e-x 1-e-2x Yp (x) =

A: Solution of the differential equation, By using the method of Variation of perameters

Q: y'+ 3 y = 4 x y(0)= 3 Y(x)=|

A: We can solve the initial value problem as below.

Q: Use variation of parameters to obtain the general solution. y''+4y = 4 sec2x

A: The given differential equation is; y"+4y=4sec2x.

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.