Solve the following differential equations 1. (D² + D)y =- cos x 2. (D² – 6D + 9)y = e3x 3. (D² + 4)y = 5e* – 4x2 4. (D² – 1)y = x?e* 5. (D² + 1)y = 10e2x; when x = 0, y = 0, y' = 0 %3D

Q: y(s) =. (s+2)² +1 e" (cost – 2 sin t) -2t e" (cos t – 2 sin t) O A.) O B.)

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Q: What is the solution to the differential equation 2√√ay- da Oy = ( ² √₂-2) ? 3 Oy=(2²√x - 2) ³ 1 =…

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Q: dy/dp= − (4/5) (y/p+9) Solve this differential equation if y = 8  when p = $23.

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Q: tan x dy +y sin x dr = 0, when x = 0, y = | O y (3- cos 21) = 2 O y (cos 2x O y° (2 – cos 2x) = 1…

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Q: Solve the differential equation (d2y/dx2) - 7dy/dt = 0 if y(0) = 1, and dy(0)/dt = 1 A.…

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Q: а. (4x3 — 6ху^)dx + (4y- 6ху)dy %3D 0 b. 1 -(xdy- ydx)=0 x²+y? с. 1 (v²dx+x²dy)=0 (x2-у?) d. (x+y)dx…

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Q: Solve the differential equation by using variation of parameters: d'y dy 3 dx 3x + 2y = e dx .A 3x y…

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Q: Solve these differential equations d. dy/(√x ln⁡2x )+dx/(y^2 ln⁡y )=0 e. xdx+ (ydx-xdy) cos⁡ (y/x)…

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Q: If 2x3+3ycos(xy)+(cx2y2+3xcos(xy))y'=0 is the exact differential equation then c =?

A: The exact differential equation is defined as the differential equation of the form Mx,ydx+Nx,ydy=0,…

Q: 1 – 2xy)y' = yly + sinx] ; when x = 0, у %3D 1 + cosx 1+y²

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Q: 3. (D² + 4)y = 10 cos 3x. ANS. Y = -2 cos 3

A: We have to find solutions

Q: d) Solve the differential equation of y"" + 4y' = sec 2x

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Q: Solve the following differential equation Select one: O a. yos=e"(tanx+c) O b. yos=e"(cotx+c) O…

A: Given differential equation is dydx-2xy=x2sec2x. We have to find the general solution of this…

Q: / Solve three of the differential equations below: dy А. secx dx ev+sinx %3D B. (2y sinx - cos y) dx…

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

Q: Solve the following nonhomogenous differential equation: d''''y/dx'''' + 2(d'''y/dx''') +…

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