Solve the second order differential equation ÿ + ỷ – 6y = 8e* + 3x 1 A:y = ce2x + c2e-3x + 2e* + 12 B:y = ce2x + Cze-3* + 2e* –- - - 12 1 C:y = ce2* + c2e-3x – 2e* --2 | D: y = c, 2* + Cze-3* – 2e* ++ 1 *IN

Q: Which of the following is a nonhomogeneous linear differential equation with constant coefficients?

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Q: Solve the system of first-order linear differential equations. (Use C1 and C2 as constants.) У1' %3D…

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Q: Make the Nonexact differential equation xy dx + (3y2 + 2x2 – 20) dy = 0 to an exact differential…

A: The solution is given as

Q: What is the differential equation of the solution y = C₁e-9 + С₂xе-9x + С3e7* ? Oy" + 11y" - 45y +…

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Q: Consider the partial differential equation uxxxx +3uxxyy + Uyyyy = 0. Determine the order of this…

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Q: 14. Solve the differential equations: (a) y - 4x' + 2x +5 , where 0)-10 ; (b) y - 3x + xy , where 0)…

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A: Given that the Ricatti differential equation,  with We need to determine its general solution.

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Q: equilibrium

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Q: 器 뽐 + 2ary 61 길

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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.