x.y’ + y + 2y’ – xsinx = 2sinx solve the equation

Q: What is the general solution to the differential equation (tan x)dy - (4y In y - y tan³x)sec²x dx =…

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Q: Find the general solution of the differential equation. (Use C for the constant of integration.) (ex…

A: Topic - differential Equation

Q: Solve by applying "Differential Equation using Substitution Suggested by the Equation"…

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Q: SOLVE FOR EXACT DE DIFFERENTIAL EQUATION 3. (x + 3)cos ydx - [siny In(5x + 15) - y] dy = 0

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Q: 3. Determine a homogeneous linear equation with real, constant coefficients that is satisfied by: y…

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Q: Solve the differential equation using undetermined coefficients method y''+4y=2x sin(x)

A: Given that y''+4y=sin2x Let y=emx Now  m2+4=0m=±2i Therefore the general solution,…

Q: Solve the differential equation by variation of parameters. 1 7 + ex y(x) = = y" + 3y + 2y =

A: The given differential equation is;  y''+3y'+2y=1/(7+ex).

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

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Q: DIFFERENTIAL EQUATION (x +y)dx+ (2xy +x In 3x) dy= 0 When x == y = 2 3'

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Q: Find the radius of curvature of y = x^3 at the point (1,1). (SOLVE BY USING DIFFERENTIAL EQUATIONS)

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Q: Determine the particular solution of y' sin(2y) – cosx = 0,x ==when y = 0 %3D %3D Identify the…

A: Here the given differential equation is in variable separable form. So here we can use variable…

Q: 3. Determine a homogeneous linear equation with real, constant coefficients that is satisfied by: y…

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Q: By separating the variables determine the solution of the differential equation xsin^2y…

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Q: Don’t skip any steps. Solve the separable differential equation : dy/dx = 3x^2y, y(0) = 2

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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: Solve the differential equation by variation of parameters. 4y" - y = ex/2 + 8 y(x) =

A: First I have find the complementary function and then by using method of variation of parameters…

Q: Find the 4th order differential of the function y=√2x+1.

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

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

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Q: solve the differential equations by using integrating factor y'= (y/x) + 2x+1.       when ; y(1)= 3

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Q: Solve Bernoulli differential equation of y' + xy= ry². %3D

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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: dy/dx=x squre root of y for y doesnt equal 0 Solve the differential equation

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Q: The tangent line to the curve y = x3 at the point (1,1) will intersect the x-axis at x = a.2/3 b.…

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Q: Find the approximate height of the curve y = x3 – 2x2 + 7 at the point where x = 2.98. (SOLVE BY…

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Q: Solve the differential cquation d'y by using the method of variation of parameters.

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Q: Solve the differential equation using undetermined coefficients satisfying the given conditions. (a)…

A: Since you have posted multiple questions which are not interlinked so I can do first question as per…

Q: 2. Solve x². dy + 2xy = 4x³ using an + 2xy = 4x³ using an Integrating Factor. dx

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

A: We have to solve the differential equation

Q: Find x for which the line tangent to the parabola y = 4x – x2 is horizontal.

A: In this question, we need to find the value of x at which the tangent line is horizontal.

Q: Find a solution for y in terms of x that both satisfies the differential equation and passes through…

A: We have to find the solution of differenrial equation

Q: (2 + tan2x)(1+е"У)dx — е У tan x dy %3D 0 = 0 %3D

A: Given differential equation is 2+tan2x1+e-ydx - e-ytan x dy = 0,   yπ2=0

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

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Q: Use variation of parameters to find the general solution of the differential x²y" - 5xy' + 5y = 4x…

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Q: Solve the differential equation by the method of integrating factors. y + 7y = cos (e7*) y = Use "C"…

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Q: /y' + 10 = 0, y(0) = 2 and y'(0) = 4 %3D %3D

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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 eqution y'-y=7e^x

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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: Find the equation of the line tangent to y = x2 – 3x – 5 and parallel to the line y = 3x – 2.…

A: Explanation of the answer is as follows

Q: Solve for first odrer differential equation    (x^2+cosy)dy+(3x^2+2xy)dx=0 where; x=0 , y=π/2

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Q: Find the terminal value, lim y (r), for the solution of differential equation dy + 3z'y - 6z". dr

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Q: (2х — 5у + 3)dxх — (2х + 4у — 6)dy %3D 0 - -

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Q: 1 Solve for the differential of y when y=sinx, x=÷, and dx=-

A: Solution. A is true.

Q: Solve the differential equation using the method of undetermined coefficients. y" – 2y' + 2y = x +…

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Q: Find the homogeneous linear differential equation whose solution is y=-e^(3x/2)-4x sin⁡2x.

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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…

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.