a. y = 3 sin 2x+ e-* ;y" + 4y = 5e-*

Q: Solve the given differential equation by undetermined coefficients. y"" - 6y" = 4 - cos(x)

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Q: Write a fifth-order differential equation that has the following general solution: Cез* + Сzе-2х +…

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Q: (3ху2 — у?)dx + (2х?у - 2у)dy - 0

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Q: Obtain the general solution of the given differential equation: tanydy = sin3xdx

A: The given differential equations tan2y dy=sin3x dx⇒sec2y-1 dy=143sinx-sin3x dx    As…

Q: of the differential equation x' = 4 sin 2t, which (c) x(π/4) = 2. = 2

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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: e. Cxy +C'x + 9 = 0

A: Cxy+C2x+9=0

Q: Solve the given differential equation by separation of variables. dy dx sin 5x y = -5 cos(x)

A: To solve the differential equation.

Q: Solve the given differential equation by undetermined coefficients. у" - бу" %3D 2 - cos(x) y(x) :

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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 using indeterminate coefficients y''' - 6y'' = 3 - cosx

A: The given differential equation is y'''-6y''=3-cosx. Its auxiliary equation is m3-6m2=0. Solve it as…

Q: Solve the given differential equation by undetermined coefficients. y'' + 4y = cos2 (x)

A: Find the homogeneous solution of the given differential equation as follows.

Q: 4. y = x cos(In x) x²y" - xy + 2y = 0

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Q: Form the differential equation by eliminating the arbitrary constant A, B from y=Ae?x+Be7*

A: We have to form differential equations

Q: ya + yi = 1, when x = 0, y = 4 dy = cos(x + y), when x = 0, y = dx

A: Firstly we arrange the differential equation and after that we separate the variables and integrate.…

Q: 2. y = ln sin(x - A) +B; y" +(y)² +1=0

A: Introduction: A function y=f(x) that satisfies the differential equation when f and its derivatives…

Q: Determine whether y 3 sin 2x + e-a is a solution to the differential equation y" + 4y = 5e

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Q: Q1 By eliminating the constants A and B from the equation y = Asin 2x + B cos2x, form an ordinary…

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Q: Give the differential equation that has as its general solution. y = C₁ sin(2x + C₂)

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Q: Solve the given differential equation by separation of variables. dy = sin(3x) dx

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Q: 2. Solve the differential equation using undetermined coefficients satisfying the given conditions.…

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Q: Form the differential equation for the function x+2y=a sin3x-bcos3x

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Q: verify that the indicated function is an explicit solution of the given differential equation…

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Q: 15. x" + x = tan t; x=-(cost) In(sect + tant)

A: Given, x''+x=tant x=-costlnsec(t)+tan(t)x''=cos(t) ln(tan(t)+sec(t))+tan(t)

Q: y" + 25y = 5 tan²(5x) cos(5x)

A: To Determine :-  The second order differential equation : y'' + 25y = 5 tan2  5x cos  5x

Q: 7. x = A + By + Cy² + De-4y; xV + 4x"' = 0

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Q: Solve the given differential equation by undetermined coefficients. y" + y = 5x sin(x) 5.2 -x cos x…

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Q: Obtain the differential equation whose general solution is y= a sin 2x b cos 2x, where a and b are…

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Q: Eliminate the arbitrary constants in the equation defined by y = ae^(3x) + bxe^(3x). Which of the…

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Q: Find the differential equation by eliminating the arbitrary constant/s. 1. ecosx = c(1-cosy)-¹

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the differential equation having as solution of y = x sin(xtc) .

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Q: Use the method of undetermined coefficients to find a particular solution to the differential…

A: Explanation of the answer is as follows

Q: Find the Differential equation by eliminating the arbitrary constant  Sin-1 x + sin-1 y = C

A: sin-1x+sin-1y=C

Q: dx 3. y - x = 2y2 ; y(1) = 5

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

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Q: Solve the given differential equation by separation of var X- dx xdy = 2y

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

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Q: sin(ax)y = -a cos(a.x)y + a

A: Given that  The differential equation  To find the general solution

Q: Verify that the indicated function is an explicit solution of the given differential equation.…

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Q: Solve the given differential equation by separation of variables. ds ks = dr S =

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Q: Solve the given differential equation by separation of variables. e-y + e-5x - y exy dy dx

A: To find the solution of D.E.

Q: y = C,e3x csc3x + 2C2e-2x sin3x + Cze* tan3x —2х

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Q: obtain the linear differential equation with the real, constant coefficients that is satisfied by…

A: Solution.

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

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Q: Solve the given differential equation by separation of variables. dy = sin(6x)

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Q: Write the general form of Cauchy-Euler differential Equation. Solve the follow- ing differential…

A: General form of Cauchy-Euler Differential Equation. The differential equation…

Q: Solve the first order differential equation using any acceptable method. sin(x) dy/dx+(cos(x))y=0,…

A: We have given First Order Differential Equation,

Q: Determine whether the differential equation (cos(y°) – 2xy+ 2)dx – (5xy*sin(y³) + x²)dy is exact. If…

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Q: Verify that the function y (cos( 6x)) is a solution to the differential equation y = 6 sin(6 9e

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Q: y"-4y = 0; cosh 2.x, sinh 2x

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