Determine the form of a particular solution (u, ) of the given DE u"- Su' =t' +5 + 2e". o4, =t(At' +D)+ Ete" o4, =t(At' + Bt° +Ct + D)+ Ee* ou, = At' + Bt +Ca + D + Ete* o4, =t(At' +Bt + Ct +D) + Ete" A Moving to another question will save this response.

Q: Some body started at A(6, 0) and coordinate change by AX = -6 and AY : O Find its new position ? *…

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Q: Solve y"-6y' + 5y = 0 A) y = c,e* +c,eS* B) y = c,e* + ce C) y = c,xe* + c,e D) y = c,xe* +c,xe

A: To solve  y"-6y'+5y=0

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Q: Solve for the unknown quantities, if possible, in Exer- cises 5-16. 5. (1, 2) + (0, y) = (1, 3)

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Q: A. et B. et The value of L-1} is. B. 2te¹ + et A. 3te +et C. u(t) C. 2te + et D. 8(t) D. 3tet + et

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Q: 5) x2. dx = x² + 3xy + y², (c) dr = 2 = 3v, + 3x' (d) (1 - y)' + By - 5x = 0.

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Q: Find the general solution of Зx(у - 4) x2 + 3 1+ (x² + 3)3 1- (x² + 3)3 a) Oy = 2 + 2C(x2 + 3)6 b)…

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Q: 2. State the leading coefficient, degree, and symmetry. [K/U 6] b) y= e a) y=3x-4x² + 2 -6x c) d)…

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Q: 5. (-. A. B. y = C₁x + c₂xln(x) 3) The radius of convergence of 1 (-1)*(-4)* B. 0 C. 00 C₁x + ₂x² y=…

A: Here you asked for question number 5 only . So here it is

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Q: Find a particular solution to -18.5e-2t y" +4y +4y = 12 + 1

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A: Given:

Q: 3.-. 3) The general solution of y" - 5y' +6y=0 is. A. y = ce² +₂e³ B. y ce2 + c₂e-3 C. y cie-2z+c₂e³…

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Q: Which of the following s the solution set of 2x -2x 12? (-3, 2} B) (-2, 3} C) D) 2) 3.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.