er differential equation by Va (D2 + 9) y = sin 3x

Q: Differential Equation Solve xdy + (3x-2y)dx = 0 in two ways.

A: Given:- xdy + (3x-2y)dx = 0 To find:- General solution of given differential equation by two methods

Q: Differential Equation Solve dy/dx =y2+2xy / x2

A: Differential Equation Solve dy/dx =y2+2xy / x2

Q: (D3+40?+ + 6)y =0 2

A: We have to solve the higher-order homogenous differential equation…

Q: Bernoulli differential equation Solve: x dy/dx= y-y^3 sinx

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Q: the differential equation by separation of variables: root(x)(dy/dx) = ey+ root(x);         x>0

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Q: dy 1. dx У— (1 + у) sec х + tan x

A: The solution of the problem is given in the next step.

Q: Differential equation dy - 3x Initial conditions y=4 when x=9 1. dx %3D

A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you…

Q: -mogenous Differential Equation with nstant Cofficients. D – 2)²(D + 3)*y = 0 %3D

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Q: (xcosx + sinx) dx + -sinx + 6 )dy y = 0;x=0;y=1 |

A: Given query is to solve the given differential equation xcosx+sinxdx+2xysinx+6dy=0 x=0 y=1

Q: Differential Equation: 3. (D2-4D+4)y = ex  (use Variation Of Parameters

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Q: Sturm-Liouville differential equation in hy

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Q: Exact differential equation (2xy + 6x)dx + (x² + 4y³)dy = 0

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Q: Differential equation x² 2xln(y)dx + dy = 0 y

A: If the equation Mdx +Ndy =0 is exact i.e, ∂M∂y=∂N∂x , then the solution is      ∫y constant M dx…

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

A: Consider the differential equation y''+y=sin2x Differential equation in the operator form is…

Q: 4. хdy— ydx %3 (х — 1)е* dx

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Q: An integrating factor for the linear differential equation y'+ Select the correct answer.

A: In the given question, concept of differential equation is applied. Differential Equation A…

Q: sin 2 dx 4 Inx |(xy)sin*(! e ]dy + ху tan

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Q: 3. EXACT DIFFERENTIAL EQUATION:. (4x°y° - 6x²y – 2x – 3 dx+(2x*y=2r° ktv =0

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Q: Differential Equation: Solve initial value problem dy/dx = y cos x /1+2y2 , y(0) = 1

A: Differential Equation:  Solve initial value problem

Q: Evaluate the Particular solution of the differential equation and find x when y = 0. If decimals,…

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Q: omogenous Differential Equation with onstant Cofficients. (Dª – 5D² – 36)y = 0

A: In the given question, concept of differential equation is applied. Differential Equation A…

Q: (2ху? + уjdx — хdу %3D 0

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Q: DIFFERENTIAL EQUATION dy/dx=2y-1

A: Solution

Q: dy-yin(yedx=ycos

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Q: differential equation: dy а- = b – y dx

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Q: Differential equation by substitution: xy dx +[x^(2)-3y] dy = 0

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Q: Differential Equation y"(x) = - [y'(x)]²

A: We need to solve differential equation ,  y''(x) = -y'(x)2 Substitute , y'(x) = u(x) ⇒ u'(x) =…

Q: Exact differential equation dy 2xy + y2 – 2x = 0 dx

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Q: differential equation .2x 2

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Q: 3. y'= 1t 3y tan x

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Q: Exact Differential Equation. Solve: (ex + y)dx + (2 + x + yey)dy = 0

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Q: he diff dy -1 dx

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Q: 2ず-y coSX = COS X cosX | | find the differential equation

A: In a first order differential equation, with variable x and y, if it is possible to arrange all x…

Q: Differential Equation  Solve (y cos x + 2xey) + (sin x + x2ey − 1) dy/dx = 0

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Q: olve the differential equation. y' + (y²)sinx = 0

A: given differential equation y'+y2sinx=0 using separation of variables…

Q: dy Solve the differential equation: da tan (x). The curve passes through point (0, 0).

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Q: 6. (x³ + y³)dx +y²(3x + ky)dy = 0; k is constant.

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Q: y' = x – 2y

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Q: Find the Differential equation using elimination of arbitrary constant:…

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Q: Differential Equation (x+2y-1)dx-(x+2y-5)dy=0

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Q: 1. x In x sec² y dy + [tan y – (In x)°]dx = 0 When:x = 1; y =

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Q: ху"-(х + 1) у'+у-0 Y = e*

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Q: 9. Solve the differential equation by undetermined coefficients (annihilator approach). y" + y = 4…

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Q: ing differential equation: y" + 2y"-3y = =x+4

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Q: dy — у — хузе-2х dx

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Q: (ex-3 2. + 3|x when X= 3

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Q: (y + 1)dx + (4x – y)dy = 0 -

A: To find the general solution of the linear DE: (y+1)dx+(4x-y)dy=0...(1) which can be written as:…

Q: . x²ydx – (x³ + y³)dy = 0

A:

Q: x(1-sin(y))y' = (cos(x) - cos (y) - y)   solution of the differential equation

A: The solution for the given differential equation is given as