1. a. b. d. Classify each equation as ordinary differential equation (ODE) or as partial differential equation (PDE), give the order, and indicate the independent and dependent variables. If the equation is an ordinary differential equation, indicate whether the equation is linear or nonlinear. d'u d'u + ax² 0 d³m m(5+6n) dn n(2–4m) 4y" + xy' = 6y³

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: Xoly-y dx-Jx.ye dxz0

A: Given:            xdy−ydx−x2+y2dx=0

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Q: 3. a) Define Integrating Factor and Exact Differential Equation. b) Solve: (x2 + xy-y² )dx+ x² - 2xy…

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

Q: 3 tanx-2xy = c

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Q: Find an integrating factor that will make the given differential equation exact- 2y Cx²tD dx + dy =0…

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Q: Q1} Find the differential of ex²

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Q: Detemine whether the differential equation is linegror non liner and give reasons. O54y +Siny=

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Q: Find the differential equation given the general solution: y = cer + Czex + 3x

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Q: + sin(x) = cos(x) 4x²

A: Concept:

Q: Form the differential equation for the function x +2y = a sin3x - bcos3x а. Зу" - 18у %3D -9х O b.…

A: The second order differential equation for a function can be found by differentiating the function…

Q: 3 dw + xy + w = k dx2 2 +s + 2st = 0 dx (尚) ds dt dt y" – 5x(y')2 = e* + 1

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Q: (1– x){ - 4xÍ +5y = COSX dy. %3D dx2 lx

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Q: y(s) = (s+2)² +1 e2" (cos t - 2 sin t) -2t e" (cost – 2 sin t) A.) B.) e-2"(cos t + 2 sin t) e2"…

A: Correct ans is option A

Q: Find the differential equation by eliminating the arbitrary constants of the family of curves y = C₁…

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