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

Q: Solve the differential equation: sin(2x)cos(y) − sin(y)sin2(x)dy/dx = 0

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Q: Formulate a differential equation that is satisfied by 1. y=Ae2+ Bxe2x 2x + Bxe2x

A: The given equation is: y=Ae2x+Bxe2x Formulate a differential equation that is satisfied by the given…

Q: y = C, cos 3x - C sin(-3x)

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Q: The solution of the differential equation=1-x+y-xy is: dx

A: To solve the given differential equation

Q: Find the general solution of the differential equation.

A: given,

Q: Find a function of the differential equation: y = x²-2 sin x

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Q: Solve the differential equation. xy' + y = 4Vx

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

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Q: Solve the differential equation:+ y = e-* sin x 2

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Q: Find general solutions of the differential equation  2xyy'=x^2+2y^2

A: To solve:

Q: Find the general solution for differential equation.

A: To obtain the solution of the differential equation dydx=4e2x, multiple both sides by dx and then…

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

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Q: dy + ( 1+x)y = e -× sin2x dx

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Q: dy 2. dr 2xy

A: Given : dy/dx - 2xy = ex²

Q: The general solution of the differential equation dz +6y sin 4z is

A: We need to solve the differential equation d2ydx2+6y=sin 4x The solution of this differential…

Q: Evaluate the general solution of y'"=e* + sinx

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Q: Solve the differential equation defined by x dy/dx −2y = x^6 sinx.

A: Consider the provided differential equation,

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: The solution of the differential equation y" – 2y' = x + sinx

A: we have to solve the given differential equation

Q: (D² - 1)y= 2 1+ex

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Q: Solve the differential equation dy/dx=2x+sin3x.

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Q: Determine the general solution of the given differential equation

A: Rewrite the equation in standard form. And solve it

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

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Q: 4. xy = x cos( y/x)+y

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Q: Find general solutions of the differential equation      y'=y+y^3

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Q: *- 2- 2 - - 2 = 0 dx dx

A: The solution is given below-

Q: Find the solution of these differential equations : 1. dx %3D

A: Given Since You have posted multiple questions, so we solve the first question for you, to get the…

Q: Consider the differential equation curve if it passes through (1,-1). dy 2y dx x = 0. Find the…

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Q: Find general solutions of the differential equation          x^3+3y-xy'=0.

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Q: solve the differential equation y′′ + y = 4 cos(2t)

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Q: The general solution of the differential equation 2x(y + 1) dx — у dy is:

A: Given the differential equation: Now,

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

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Q: Solve the differential equation y""+y" = 3x² + sin x - 2 cos x What is the particular solution?

A: We have to find the particular solution.

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: general

A: Please refer to the image below

Q: '+y- y²(cos 2x– sin 2x) = 0

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Q: (メyーx+24 -2) dx- (x+ 4x) 0

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Q: Solve the differential equation y y' = - + sin sin ()

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Q: y"+4y=x² sin 2 u

A: See the attachment

Q: 1/x+ y+(3y² + x)y =0

A: Given differential equation is of the form,  M dx + N dy=0

Q: Find general solutions of the differential equation  x^3y'=x^2y-y^3

A: the given equation is x3y'=x2y-y3 divide the equation by x3 y'=1xy-1x3y3            ...... (1)…

Q: Find a function of the differential equation: y' = x3-2 sin x

A: topic - differential equations

Q: Find general solutions of the differential equation    (x+y)y'=1

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Q: Determine the form of a particular solution for each differential equation 1. y" - 2y + y = 10e -2x…

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Q: The solution for the differential equation dy dx tan-¹x 1 1+x² (et - y is

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Q: Solve (first order linear differential equation): y'-3x2y=ex^3

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Q: Find general solutions of the differential equation  (x^2-y^2)y'=2xy

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Q: Determine the solution to the differential equation given by: y' + 2y = 4 cos x

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Q: dy_ y²sec² (-) tan (-) dx x2

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Q: Hi, can I get help with this problem? Thank you! 3.4

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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.