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

Q: У"(х) — 2у(х) + у (x) — 4x2 — 3 + et

A: Given :         y''(x) - 2y'(x) + y(x) = 4x2 - 3 + exx   To find:            The general solution of…

Q: Find the General Solution of the Differential Equation given below using Exact Equation

A: To solve the given differential equation: yexy−1ydx+xexy+xy2dy=0,y1=1

Q: Solve the given differential equation by separation of variables. csc(y) dx + sec²(x) dy = 0

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Q: Find the general solution of the differential equation y′ = √x y

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

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Q: Find the differential equation whose solution is given by y = C,et*cos3x + C,e*sin3x

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Q: Find the differential equation whose solution is given by: y^2=4ax

A: To find the differential equation for y2=4ax differentiating this equation with respect to x.

Q: ху xy' = y(1+ln2)

A: The given differential equation is  xdydx=y1+lnyx

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

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Q: Find the general solution of the differential equation.

A: given,

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

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Q: From your sketch, what is the equation of the solution to the differential equation that passes…

A: The complete solutions are given below

Q: y" tuy=3(sct

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Q: ( .) Find the solution to the differential equation dz dt that passes through the origin. 2= 5te6z

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

A: To Determine: solve the differential equation by variation of parameters. Given: we have a non…

Q: Determine the solution to the differential equation given by: y'=6y2/x

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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 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 general solution of the differential equation y′ = tan3 3x sec 3x

A: Given: y' = tan3(3x)sec(3x) =>dy/dx = tan3(3x)sec(3x) =>dy = tan3(3x)sec(3x) dx

Q: Solve the given differential equation by separation of variables. ds kS dr

A: We want to solve given differential equation

Q: Solve the differential equation by separating the variables.   dydx=sin(x+y)−cos(x+y)

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Q: Find a differential equation whose general solution is y = cie®t + cze¬,

A: The complimentary function of the differential equation if the root of the auxiliary equation are…

Q: The differential equation formed by eliminating a and b from y = ae* + be* is

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Q: Solve the given differential equation by separation of variables. xdx = 2y y =

A: Use Separation of Variables to solve the given differential equation xdydx=2y

Q: Find the solution to the differential equation dx 8xy which passes through the point (0,e). Express…

A: We will solve the equation by method od separation of variables.

Q: 2x + 2xy2 y + 2x²y dy dx ||

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Q: Find the general solution of the differential equation y′ = √(tan x) sec4 x

A: The function is y'=tan xsec4x. To find the general solution, integrate both sides of the equation.…

Q: Find the solution to the differential equation dy/dx=19xy/(lny)4 which passes through the point…

A: Separate the variables than solve the differential equation by integrating both sides.

Q: Find a differential equation whose general solution is y = cie" + cze *. = 0

A: To find a differential equation whose general solution is given by, y=c1e7t+c2e−3t

Q: Solve the given third-order differential equation by variation of parameters. у" - бу" — у'+ бу 3D…

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Q: y' = xe', У (0) — о

A: We have to isolate the variable then integrate the function to solve the equation

Q: Find the general solution of the given differential equation

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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 separation of variables. csc y dx + secx dy = 0

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Q: Give the general solution of the differential equation y'-y = sinx + cos2x +e-x

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Q: general

A: Please refer to the image below

Q: Find the general solution of the differential equation using any method          y′ = √( 1 − cos )

A: Find the generla solution of given differential equation y'=1- cos x

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

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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: Find the solution of the differential equation y'+ y = x?

A: Please refer to the image below

Q: Find the general solution of the differential equation: y′=(1+y)secx+tanx

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Q: Find a differential equation whose general solution is -4t y = cjet + cze¬4.

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Q: Find the differential equation whose solution is given by y^2=4ax

A: topic - differential equations

Q: Solve the given differential equation by separation of variables. аy — е-У +е-4x — у exy dx

A: Solution

Q: Find the solution to the differential equation dz 2te12 dt that passes through the origin.

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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: b. y = C, + Cze3*

A: