The behavior of the solutions of the equation 5y" + 20 y' + 20 y = 0 can be described as O a) Overdamped O b) Critically damped O c) Damped oscillations

Q: Q.2) The basts of the equatioon y'' + y" = 0,are: b) 1,1.e a) 1,1.e c) 1, x,e²* d) 1,x.e" 0 about

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Q: If y=sech (kx") and (

A: Given,       y=sech-1(kxN)   and (1-289x10)(y')2=Ax2

Q: Solve the given IVP: (a) y""+y" - 2y' = 4e-²x/cosx; y(0) = 0.4, y'(0) = −0.4, y″(0) = -0.4

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Q: a) m - 1 b) m – 2 Q.8) The characteristic equation for y"" + 3y" – 4y = 0 , is : b) 2' = 32?-4 c) m…

A: To find out the characteristic equation.

Q: 8) A particle that moves along a linear path has a known velocity of v(t) = 4.3 sin (2.1t), where…

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Q: Solve the D. E. to the I. V. P. sinx(e- + 1)x' – cosx = 1, y(-) = 0 (1 + e") (1 – cos x) = 2 O (1 +…

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Q: Solve the D. E. to the I. V. P. sinx(e + 1)x'- cosx 1, y() = 0 O (1 + e') (1 + cos x) = 2 O (1 + e)…

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Q: The equation y" + y' +cos (t) y = e" (9 – t) can be solved by O a) Undetermined coefficients O b)…

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Q: 1. Find dy/dx a) y = In (2x² – 3x) %3D b) y = [e" dt ) d) y = In|sec(x)+ tan(x) e) y = 7std*) S)y =…

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Q: Write down the form of a particular solution to the equation y" + 2y + 2y = 5e¯* sin(t) + 5t³…

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Q: b) y"+ 4 y = cos (t), y(0) = y'(0) = 0

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Q: 1. Solve y"+9y=0 subject to the initial conditions y(0) =1, y'(0)=-1. Use Euler's Formula: e* =…

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Q: (a) If y = xV², then dy dx (b) If y = (2 + sin 3x)", then d (2 + sin 3x)" = T(2 + sin 3x)=-1(cos 3x)…

A: We have to differentiate the given functions: a If y=x2, then dydx=2x2-1 b If y=2+sin 3xπ,then…

Q: Solvecos (2) O a. O b. 2 с. d. y cos Y I - [2 in (2) + co. (:)]* - = 0 dz y sin () = c C = сх ysin…

A: Given differential equation is yxcosyx-xysinyx+cosyxdydx=0       (1) Simplifying (1), we get…

Q: Q.4) The Wronskian W(e~2", e",e²), is: a) 12e b) –12e c) 6e² d) -6e"

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Q: 2) Find the minimum value of 6 cos x 8 sin x 3) The phase shift o̟ in a certain electric circuit…

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Q: 2. Use Method of Undetermined Coefficients: y" - 2y' + 5y = 4e*cos2x + n IN

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Q: y" + 9y = e²* sin(x)

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Q: (i). y' = 1 + 3y tanx Ans. 3y cos³x = c + 3sinx - sin³x

A: this is a linear differential equation. solve it using integrating factors.

Q: 5. sin x cos? y dx + cos? x dy = 0

A: As per the guidelines, we are suppose to answer only one question. Please repost the rest of the…

Q: 4. y=sin(3x) • cos(2x), y'=?

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Q.12) The solution of y" + y' = 0 by using power series method , is! %3! a) y(x) = a, – a,(1-+ b)…

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Q: 2) y"+y' - 1 = 3 cos(x)

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Q: 3. Solve y' + cos(r)y = 2 cos z subject to the initial condition that y() = 2.

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Q: the solution to the given equa y" + y' – 2y = cos(x) – 3 sin(: -

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: 7 b) For the system, 9. 6 - 1 Y': Y 5 4 Write the natura! period of the oscillations, round the…

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Q: y = - пе COS I solves y'= y sin æ

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Q: Nitin

A: (a) y(t)= ±5.83 cos(3t-30.96o)(b) Time period of the motion = 2.09 s      Frequency of the motion =…

Q: Q.1) The general solution of the equation y e' cosA a) y(t) =c, +c; x +c,¢ ' de' cosa Re' sinx b) y…

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Q: Slve the Following initl Value Problems s- a) V+4Y=20 (y=2), b)y'= 2(V-1) tanhx (YCO) =4), c)Y'+3Y=…

A: Disclaimer:  Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Select the general solution to the equation. y" + 16y = 0 %3D Oy= C1 cos(-4x) + c2 sin(-4x) Oy= cie…

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