Which of the following are solutions to the differential equation y" - 25 y = 0? Select all that apply. y(t) = Ce". for any real constant C Oy2(t) = Cr³. for any real constant C ys(t)= e. for any real constant C ya(t) = 5 (e5¹ +5¹) Oys(t) = 7e + 8e³ □y(t) = cos(71) y(t) = e-st -5 5.00

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Q: e order of the given ordinary differential equation, and classify it as linear or non-linear. 2 (n)…

A: *By Bartleby policy I have to solve first 3 subparts only.Repost separately remaining parts.* We…

Q: Solve the differential equation. dy y + 1 dx O In |x| – ? () = tan - ex - x + tan-'(x) = C In |x| –…

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Q: 04- Determine the general solution of the following differential equat dy tan x. +у %3D sec х dx

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Q: y(3) – 3y" + y' – 3y = e3t + 1

A: Consider the provided D.E, y3-3y''+y'-3y=e3t+1⇒D3-3D2+D-3y=e3t+1 The Auxiliary equation is written…

Q: B. Which of the functions are solutions to the differential equation? 2. y' - 5y = 0 (a) y= 5, (b)…

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Q: consider the differential equation dy/dx=sin(x)/y for which the solution is y=f(x). Let f(0) = 1…

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A: Use total rate of change of salt

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Q: Solve the following first order differential equation dy/dx = (4x3y)/(3y2-x4)

A: We can solve the given differential equations.

Q: For an exact equation, Show that this differential equation cos(x+ y)dx= (3y² +2y+ cos(x+ y))cdy = 0…

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Q: 10. xy dx - (x + y') dy 0 Ans. 3 p3 +log y = C

A: given D.E isx2ydx-x3+y3dy=0---1is of the form Mdx+Ndy=0where M=x2y;N=-x3+y3∂M∂y=x2  ; ∂N∂x=-3x2

Q: Solve the differential equation by undetermined coefficients y" – y' = -3 а.

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Q: Write the given differential equation in the form L(y) = g(x), where L is y" - 4y' - 21y = x - 4…

A: given differential equation y''-4y'-21y=x-4 we have to write as linear differential operator form

Q: Which of the following is a solution to the differential equation y" + y = 0 ? a. e*(C, cos x + C2…

A:

Q: (a) Solve the following ordinary differential equation dy y + dx x (b) Evaluate 6 Gầy cosx" dxdy…

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Q: 3. Solve the following higher order differential equation given that y() = 0, y'(품) %3D2 dy + y = 0…

A: The solution is given as

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Q: The function y(t) = ln(4 + 5t), t> − , is a particular solution to the differential equation y" +9y…

A: Solution :-  The differential equation is       y" + 9y = g( t ) and yp( t )  = ln ( 4 + 5t ) , t…

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Q: dy = y + x tan 2 dx is: a. sin (y/x) = cx sin (y/x) = x +c O c. y = arcsin(cx С. d. None sin (x/y) =…

A: Given that  xdydx=y+xtan(yx) Simplify the O.D.E dydx=yx+tanyx Homogeneous ODE let y=vx and solve he…

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A: