Find the 3rd derivative of y = xlnx. (SOLVE BY USING DIFFERENTIAL EQUATIONS)

Q: Find the general solution of the differential equation and check the result by differentiation

A: Given differential equation -dydx = 2x-3             ............(1)Separating variables - dy =…

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: Solve the Linear first Order Differential Equation xdy - sin dx

A: See the attachment

Q: 5x y = C, + C2e4x 4

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Q: What function satisfies the differential equation y - y' = 0?

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Q: Find the first derivative of y = e3x. 3e3x

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

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Q: find the timear form of this differential equation

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Q: ५ = (+गुंग्ट

A: Given- dydx=1+y2ex To Find- The solution of the above differential equation.

Q: Solve the differential equation by variation of parameters. 4x e2x y(x) = y" - 4y =

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Q: what is the Non-exact differential equation?

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Q: Solve the differential equation by variation of parameters. 4x e2x y(x) = = y" - 4y =

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

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Q: y = Ce * + C2e 2x + C3e * + e 2x

A: y=c1e-x+c2e-2x+c3e-x+e2xy=c1+c3e-x+c2e-2x+e2x Here, complimentary solution is  y=c1+c3e-x+c2e-2x…

Q: Write the the differential equation by separating the variables. - = x-y dx

A: Solve the following: dydx=x-y .................. (1) Let us put, x-y=t Differentiating both sides…

Q: Solve this non-homogenous differential equation using variation of parameter: (D2+1)y = sec3(x

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Q: Find the differential equation associated with y = clx^2+ c2x + c3

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Q: Find the differential equation that has y = C1 + C2x as its general solution.

A: To find the original differential equation we  have to eleminate the arbitrary constants by…

Q: What is the differential equation given functions?

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Q: Find the differential equation whose general solution is y = C1x + C2ex. %3D

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Q: The integrating factor of the differential equation xdy+ ydx= x3y6dy is

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Q: find the general equation of the differential equation

A: As per the honor code, we are entitled to solve only 1 question at a time so I am providing you the…

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: Find the solution y(t) by recognizing the differential equation

A: Given differential equation - y' = 6300-yWe can write it as - dydt = 6300-ydy300-y = 6dtIntegrating…

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

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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 order of the differential equation. And check if it is linear or nonlinear.

A: Given the differential equation

Q: Solve this exact and linear Differential equation in y.

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Q: Find the general solution of the differential equation and check the result by differentiation.…

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Q: Use variation of parameters to solve the differential equation x²y" + 10xy' + 8y = x².

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Q: Find the general solution for the differential equation

A: Given: The given differential equation is X'=45-26X

Q: = (+ Use the fact that i and -i = to solve the differential equation dx4 + y = 0.

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Q: Find the differential equation which has y= asinx+bcosx+xcosx

A: Given: y=asinx+bcosx+xcosx                                   ..1 for finding differential equation…

Q: Find a differential equation whose general solution is y = ciet + cze-4t. %3D

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Q: y = Clx+ C2e

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Q: Solve the differential equation by variation of parameters. y" + y = csc(x) y(x) =

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

A: topic - differential equations

Q: Solve the differential equation  by undetermined coefficients. y"+y = 2x sin x

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Q: Find the order and degree of the differential equation:

A: Given,                d2ydx2+5dydx4=13sinx

Q: Solve the differential equation by variation of parameters 16x у" - 16у y(x) =

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Q: Find the seperable differential equation

A: A differential equation dydx=f(x,y) is said to be a separable equation if the given function fx,y…

Q: What is the degree of the differential equation:

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Q: Convert y'=Xy ʻ-y into an exact differential equation.

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Q: The main mathematical operation in solving for the solution of a differential equation is…

A: 6.The main mathematical operation in solving for solution of a differential equations  is…