y' = 5y + y?

Q: 3 (3x? — 6ху) dx — (3x? + 2у) dy 3D0 -

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Q: Solve the differential equation by variation of parameters. 1 y² + 3y + 2y = 2 + ex

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Q: Xoly-y dx-Jx.ye dxz0

A: Given:            xdy−ydx−x2+y2dx=0

Q: Solve the differential equation using variation of parameters. d’y +y= sec³(x) dx

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Q: Solve the differential equation by variation of parameters. -t y" + 2y' + y = et In(t) y(t) =

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Q: . Separation of Variables: x(y +1)dx+ 2 dy = 0 .

A: To find solution of differential equation using variable separable method.

Q: Solve the differential equation by variation of parameters. y" + y = sin(x) y(x) =

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Q: x3+ xy² + y)dx + (y³-

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Q: ex 2. y" – 4y' + 3y = - 1+ ex

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Q: ta 2nd order differential equation whose general solution is y = cie" cos (4r)+cze¯1# sin (4r).

A: This problem is based on the topic of formation of differential equation by eliminating the…

Q: find solution of order differential equation  dy/dx=cos2(x-y+1)

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Q: y" tuy=3(sct

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Q: y" – y' = sint Solve the general solution of the differential equation by the method of change of…

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Q: Solve the differential equation by variation of parameters. 1 y" + 3y' + 2y 5 + ex y(x) =

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Q: Solve the differential equation using separation of variables: dy + y² +y= 0 dx

A: The given DE is: xdydx+y2+y=0...(1)

Q: Solve differential equation dy -(x²+y) x+siny

A: We have given a differential equation , dydx = -x2 + yx + siny This is exact differential equation.…

Q: solve the differential equation. tan2 y dy = sin3x dx                   when y(0) = 0

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Q: Solve the differential equation by variation of parameteres:   y'' + y = sin2 (x)

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Q: Solve the differential equation by variation of parameters. 4y" - y = ex/2 + 4 y(x) =

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Q: Find the complete solution of the differential equation, y' = 2 - cot.

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Q: Solve the differential equation using Variation of Parameters et (D² – 2D + 1)y =

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Q: dy + y² +y =0 dx

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Q: 4.x+xy? y-x²y ,2 dy dx

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Q: Solve the differential equations using variation of parameters 1. (D²+1)y= sec³x

A: Given differential equation:D2+1y=sec3x Concept used: Variation of parameters.

Q: Solve differential equation dy -(x²+y) = dx x+siny

A: To solve the given differential equation: dydx=-(x2+y)x+sin(y)

Q: Find the general solution of the differential z-y+3 equation y' I-y

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Q: Solve the differential equation by variation of parameters. y" + y = sin2(x) y(x) =

A: The given differential equation is: y''+y=sin2x

Q: Solve the differential equation by variation of parameters. y" - y = cosh x y(x) II

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Q: 6x2 dy dx'

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Q: solve linear and bernoulli differential equation siny(x+siny)dx+2x^2cosydy=0

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Q: Solve the differential equation by variation of parameters. y" + 3y' + 2y = cos ex y(x) =

A: Given differential equation is y''+3y'+2y=cos ex The auxiliary equation is…

Q: Find the differential equation having as solution of y = x sin(xtc) .

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Q: Solve the differential equation by variation of parameters. 1 2y = 2 + ex y" + 3y + 2y =

A: y'' +3y' +2y=12+exA second order linear, non-homogeneous ODE has the form of   ay''+by'+cy=gxThe…

Q: Solve the differential equation by variation of parameters. 1 4 + ex y" + 3y' + 2y =

A: The given differential equation is;  y''+3y'+2y=1/(4+ex).

Q: Solve the differential equation using separation of variables: dy + y* + y = 0 dx

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Q: Solve the differential equation by variation of parameters. y" + 3y' + 2y = cos(e*) y(x) =

A: Given differential equation: y''+3y'+2y=cosex               ...(1) Write the homogenous equation…

Q: Solve the differential equation by variation of parameters. 1 6 + ex y" + 3y' + 2y =

A: y''+3y'+2y=16+ex we have to solver above differential equation using variation of parameters.

Q: Solve the differential equation by variation of parameters. 4y"-y = ex/2 + 6 y(x) =

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Q: Solve the differential equation by variation of parameters. y" + 2y + y = e-tIn(t) y(t)

A: Given the differential equation is y''+2y'+y = e-t lnt

Q: dy :-y = xy2 dx

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Q: Solve the differential equation by variation of parameters. y" + 2y' + y = et In(t)

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Q: Solve the differential equation by variation of parameters. 1 y" y² + 3y + 2y = 2 + ex

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Q: Solve the differential equation by variation of parameters. y" + 3y + 2y = = 1 2 + ex

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Q: у" - Зу' + 2у %3Dcos(e -*)

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Q: Please solve differential equation A - By = dy/dx A and B are constant.

A: The given problem is to solve the given differential equation where A,B are given as constants.

Q: Solve the differential equation by variation of parameters. y" + y = sin2(x) y(x) = %3D

A: Given: Given differential equation is y''+y=sin2x We want to solve the differential equation by…

Q: Form the differential equation by eliminating constants a and b from y = a(b – x)(b+x) + 56.

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Q: Solve the differential equation using separation of variables: dy +y° +y=0 dx

A: The detailed solution is given below Thank you

Q: b. y = C, + Cze3*

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.