Solve the D. E. to the I. V. P. (1 + x² + y +x²y²)y = y, y(0) = 1 O +y = tan-I x - 37 O +y = tan- x - ○ 금 +y= tan-l x %3D O +y = tan-x- O +y = tan-x - 1

Q: f y,-e' is a solution of the DE: ty"-2(t+ 1)y' +(t +2)y-0 Then the general solution of this DE is:…

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Q: sec* (2t) dt tanº (2t) cot°(2t) cot®(2t) +c cot°(2t) cot®(2t) +c A 12 16 12 16 B 1 1 1 + c 16…

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Q: Solve ydx = (x – VIy) dy %3D O (ry) – eln x – cy = 0 (xy)i – 2æln y – cy = 0 O None of the choices…

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Q: The solution of 1y"+ y' = 0, y (0) = 0, /(0) =1 /(0) = 1 %3D is y(a) = %3D (A) cos a (B) sin a (C)…

A: The solution of a differential equation must satisfy the differential equation. Check the options…

Q: (cos r- sin r) is a particular solution to y" – 3y' +2y = e" sin x = x2 + 3x + 3 is a particular…

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Q: Which of the following is the particular solution to the DE y(9x-2y)dx- x(6x-y)dy 0; y(1) 1? A.…

A: Given equation is --(1) We are to need to find the particular solution indicated. The function…

Q: 2. Find the general solution. а. у' + sec x у%3D cos x. b. y' +y =(e* - e-*). c. y' +=y. d. y' = .…

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Q: The solution of (e + 2xy?) dx + (2 cos 2y + 2x y) dy is given by (A) e +x'y² + cos 2y = c (B) e"…

A: Given D.E is (ex + 2xy2) dx + (2cos 2y+2x2y) dy = 0     To find the solution of the given D.E .

Q: Show that an implicit solution of 2x sin2(y) dx – (x² + 11) cos(Y) dy = 0 is given by In(x² + 11) +…

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Q: Show that the equation dy + 2k possesses solutions of the form Σ 2 c, e cos (a, x+ E,) cos (w,t +…

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Q: What is the general solution of (1 + x2) y' 3æy + 3y3 tan-a + 1 = C 3xy 3y tan-1 a + 1 = C - 3æy +…

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Q: If y = f(x) is the solution of y" – 8y' + 16y = e5z, f(0) = 1, f'(0) = 5, then %3D Lütfen birini…

A: Given that the differential equation y''-8y'+16y=e5x. Auxiliary equation of the differential…

Q: The solution of (e+2xy2) da + (2 cos 2y + 2x y) dy is given by (A) e + x?y² + cos 2y = c (B) e* +…

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Q: If y = f(x) is the solution of y" – 8y' + 16y = eb, f(0) = 1, f'(0) = 5, then Lütfen birini seçin: O…

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Q: What is the general solution of (1 + x²) y = x*y 3ry + 1= C 3xy + 3y tan e 1. 3ry 3y tan 3ry + 3y…

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Q: 6. f(t) = , e* sin 2r dr C.. -s(s-1) (s-1)+4 -2 A. s(s+1)+4) В. s((s-1)+4) (s-1)2+4 D. B.

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Q: Solve (1-x)y'(x) + xy(x) =ax O a. y(x) = a+ k(x? -1) O b. y(x) = a+kVI-x %3D O. C. y(x) = a + kyx?…

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Q: -) Prove that the given function is The general solution of the given equation a) k'y"+Ky'+y =o y=G…

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Q: 2. Obtain the general solution to the equation ( y – cos?x )dx + cos x dy = 0 a. y(sec x + tan x) =…

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Q: 18. Find the particular solution of (Dª + 8D² + 16)y = -sin x c. y =sin x d. y =cos x a. y =sin x…

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Q: Consider the D.E. y(ª) + 4y" = 1 – cos(2x). Then a suitable form of the particular solution can be…

A: let the non homogeneous differential equation is of the form  y '' + p (t) y' + q (t) y = g (t)…

Q: Find the general solution or particular solution of each of the foll 1. 2y(x+y+2)dx + (y²–x²– 4x –…

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Q: O y = C1e- Solve 2 y" +2 y' + 3 y = 0 O y = C1e¯i" cos(x) + C2 e ¯ sin(æ) COS C;e * cos(=) + C2 e…

A: Firstly find the roots of auxiliary equation then find the general solution of the differential…

Q: 5. The particular solution (when x = 1, y = 0) of cos y y e* + xe* +6^-4 dx +x e* - 4+ y dy 0 has…

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Q: he • (D'+D)y(x) =x The general solution to the equation y(x) =-G cos(x)+c, sin(x)-x* + 3x² +q 4 y(x)…

A: find complementary and particular solution to find the general solution.

Q: If y = f(x) is the solution of y" - 10y' + 25y = e, f(0) = 1, f'(0) = 4, then Lütfen birini seçin: O…

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Q: To find a particular solution for y"-36y 44 sin(2t) %3D with the method of variation of parameters,…

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Q: Determine the general solution: 2y" + 2y' +y = 0 Select the correct response: y= e^-2 (c1 cos (x/2)…

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Q: Find the general solution: (r + sin 0 – cos 0)dr + r(sin 0 + cos 0)d0 = 0 a. r2 + 2r(sin 0 – cos 0)…

A: On solving this we will get

Q: Give the form of a particular solution of yl4) + 2 y " + 10 y "+ 18 y '+9y =5 e+ cos(x) +4 given…

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Q: No type answer

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Q: 6. Find the general solution: sin x sec? x cos? y dx + dy = 0 a. sec x + tan y = c b. 2 tan x ++…

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Q: 21. Solve the equation y' = (x²+ 7) / 9 (2x / 9) + c b. y = (x / 18) + c 22. Solve the equation y' =…

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Q: Pls help ASAP ASAP

A: When RHS of a differential equation is of the form H(x)=eaxV  where V is a function of x then…

Q: 7. Find the general solution: ydx + (1+ x²) arctan x dy = 0 tan y = c b. arctan x + sin y = c C. y…

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Q: The particular solution of y(x+ y)dx + (x +2y- 1)dy=0; y(0)=2 by NEDE is A y(x+y+1)=2e* B x(x+y-1)=…

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Q: The solution of the ODE: y' +y = x² +2 y=j ex*/5 (x² + 2)dx + C None is:- y.e/5-fe*/5 (x² + 2)dx +C…

A: Topic = Differential equation

Q: 1. The function u(x, y) = e cos y is a solution of: %3D a) dx² dy? b) = 0 dy? Pu c) + 4- d) None of…

A: 1 Given function is ux,y=excosy. Differentiate ux,y=excosy partially with respect to x…

Q: To solve the equation y" – y' – 6y = 2e3* + cos(x) + 2x? + 4 , what trial particular solution should…

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Q: C. 2よx dり イル X-o,Y>め CSCE ウ-0)りこ6 V coso.vdvdo y26 CSCO リニズ dxdy vdvdo v°cose drdo 9PAP うえ tane= 2…

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Q: If y = f(x) is the solution of (-12ay+ 2x)dx + (-4x³ – 48y?)dy = 0, f(0) = -1, then %3D Lütfen…

A: The equation is exact so we can solve directly

Q: The answer to this equation is y = (1/5)e^x + {(1 – (2/5)sin x – (6/5)cos x}e^–x Answer this using…

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Q: Find the general solution to the exact DE A y In yle"+ 2- eot y-3y-C O yla e"+ 2+ oot y-y C © y…

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Q: y(1) = C,e cos() + c,e sin(1) and the initial conditions y (0) = 2 and y'(0) = 1 Determine the…

A: Given: yt=C1e-tcost+C2e-tsint   ...1 And y0=2 and y'0=1   The Product rule: f·g'=f'·g+f·g'

Q: An isolated bar is kept at zero temperature at its ends. If it's given initially temperature, f(x) =…

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Q: (4) Are the following equations exact? Solve theinitial Value 8- a) 3y²dx+Xdy=° CYCI) =t), b)…

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Q: Consider the D.E. y^ + 4y" = 1– cos(2x). Then a suitable form of the particular solution can be…

A: We need to find the suitable form of the particular solution of the differential equation. We will…

Q: Prove that eª (x – 1) = + +c is a solution to xy dx + (y+ 1)e¯ªdy = 0. 2y?

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Q: Determine the largest interval in which the unique solution of (t - 3)y +tan ty =t, y(m)3D0 is…

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