1. Solve the linear equation y' +y = 5 sin 2t.

Q: Specifically a differential equations problem. Question in pic below.

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Q: Solve for differential Equation y^2dx+x^2dy=0

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Q: (x+2)? dy 2y dx x -4 x² -4

A: dydx+2yx2-4=x+22x2-4⇒dydx+2yx2-4=x+2x-2⇒y=∫x+2x-2dxx+2x-2x-2

Q: The solution of differential equation y' + (cot x) y = 3 sin x cos x, x=(0, π). is:

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Q: xdy +(y– xy+2)dx = 0

A: The given differential equation is; xdx+(y-xy+2)dy=0

Q: Find the solution of the differential equation y"+y' = sin x %3D

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Q: Solve the differential equation: sin y (x+siny)dx+2x2cosydy=0

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Q: Solve the differential equation (2xy - tan⁡ y) dx + (x^2-x sec^2 y) dy = 0.

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Q: Find the general solution of the differential equation y(4) – 16y = sin 2x + cos 2x. %3|

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Q: Solve the given differential equation by undetermined coefficients. y"+y = 6x sin(x) %3D

A: Given differential equation is            y''+y = 6xsinxConsider the equation y''+y =0…

Q: Solve the given differential equation by separation of variables. dy -4x - y dx

A: We have to form in a integrable form.

Q: Solve the differential equation. (y + Sin y) y'   =  x + x3

A: Write the equation in terms of differentials and integrate on both sides as follows.

Q: Solve the given differential equation by undetermined coefficients. y'' + y = 3x sin(x) y(x) =…

A: Find the complementary function as follows.The auxiliary equation of the given differential equation…

Q: Solve the given differential equation: (x + y sin 2) dx x sin 2 dy = 0 -

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Q: Find the general solution to the differential equation using undetermined coefficients. y" + 5y =…

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Q: Give a general solution of the differential equation y"+4y=-3 sin 2t.

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Q: Solve the given differential equation by variation of parameters. y'' − y' = xex

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Q: Find the implicit solution of the differential equation (1+sin(y))dx + (1+x cos(y))dy = 0.

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Q: Solve the Differential Equation: y " + y = 4x + sin x

A: We will solve the given linear differential equation by finding Complementary and particular…

Q: dy -2 sin x where y (5 = JT dx

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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: (sin² y + x coty)y' = 1

A: I have appended the formula used in the solution part of the question.

Q: (2) Solve the differential equation dy sin x, y(0) = 3. dx

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Q: Solve the differential equation 4y® ,6 dy 7xe-y' sin x? = 0 dx -

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Q: dy ху- = x³e-*sin x +y? dx

A: Solution of given differential equation can be find as shown below

Q: Solve for differential equation  (y2-xy)dx+x2dy=0

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Q: Find the solution of differential equation 4 dx2 +y = sin).

A: The given differential equation is 4d2ydx2+y=sinx2. Find the solution of the differential equation…

Q: Solve the given differential equation by undetermined coefficients. y" + y = 3x sin(x) y(x) =

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Q: general

A: Please refer to the image below

Q: Solve for the Linear Differential Equation: y' + y = sin(e^x)

A: Given differential equation is y'+y=sin(ex)

Q: solve the differential equation  (y+siny)y' =x+x^3

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Q: dy/dx+(2/x)ydx=3dx

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Q: Find the general solution of the differential equation y2y′ = sin 9x

A: Given:          y2y'=sin 9x Where y'=dydx

Q: Find the general solution of the differential equation y" +y = 7 sin(2t)+ 5t cos(2t).

A: Given: y''+y=7sin2t+5tcos2t The auxiliary equation of the corresponding homogenous differential…

Q: メ+y= Xex sin 2x t.

A: Given:   y''+y=xex sin2x

Q: Solve the differential equation y" + 2y = sec V2 x

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Q: Solve the differential equation y"" + y = 3x² + sin x - 2 cos x

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Q: Solve the differential equation dy/dx =(3x^2 - sin⁡ y)/x cos y.

A: By using exact diff equation

Q: Solve the given differential equation by undetermined coefficients. y" + y' + y = x sin(x)

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Q: Solve the differential equation. 1 dy sec x 2 = ey+3 sin x dx

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Q: Obtain the solution of the differential equation (3 sin y − 5x)dx + 2x^2cot y dy = 0

A: Given the DE is 3siny-5xdx+2x2cotydy=0.

Q: 1. Solve the differential equation dy y²sin(2x)sin²(x) = 0, y(0) = 1 dx - %D

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Q: 1. Solve the differential equation dy y?sin(2x)sin (x) = 0, y(0) = 1 dx

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Q: 2. Solve the differential equation sin xsin y dx +cos.xcos y dy = 0.

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: Use the annihilator method to solve the given differential equation. y"-y=3e²+ sinä.

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

Q: 2. Solve the differential equation sin xsin y dx+ cos xcos y dy =0.

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Q: Solve the differential equation dy – y² sin(2x)sin²(x) = 0, y(0) = 1 %3D %3D - dx

A: Given that: dydx-y2sin(2x)sin2(x)=0, y(0)=1

Q: Find the solution of differential equation 4º+y = sin dx2

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.