Find the general solution of the given differential equation 3y + 4y = 4 sin(2t) y? Select one: [2 cos(2t) – sin(2t)] + ce 4t | O none of the given answers 1 [2 cos(2t) – sin(2t)] + ce 2t 1 [2 sin(2t) – cos(2t)] + ce 2t 5 シ | [2 sin(2t) – cos(2t)] + ce -4t

Q: The solution of the differential Equation dy csc x by Direct method dx is

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Q: Determine the solution of the 1st Ordered Differential Equation: e* sin 2 xdx + e2 cos x dy = y cos…

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Q: (siny-2ye¯*sinx) dx + (cosy + 2e-*cosx) dy = = 0

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Q: c) x² + xy = 2x² +1. d) = 2² sin(3r) +2. d

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Q: 83. Solve the differential equation x+y=(-x² cos x)y². = x(sin²x+C) A. y 1 C. --=x² y

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Q: y = C₁ e²x cos 3x + C₂e²x sin 3x

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Q: Do the functions y1 = cos81 and y, = sin8t constitute a fundamental set of solutions of the…

A: Given a 2nd order linear differential equation y"+16y=0---1   We know that for the differential…

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Q: lve the following differential equations xd2y/dx2 −dy/dx+ 2y/x=(lnx)2 and show that the answer is…

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Q: Verify that the given function f(x) is a solution of the differential equation. DO NOT SOLVE THE…

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Q: + sin(x) = cos(x) 4x²

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Q: sin x 1. xý +3y +=

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Q: Solve 4x+ 4x+6y +5 dy dx 3y+2x+4

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Q: Consider the initial value problem (2xy² + cos x cosy) dx + (2x2y- sinx siny) dy = 0 and y(0) = 1…

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Q: The standard form of the following linear differential equation sin x = (cos x)y + xsin x + 2 is: dx

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Q: Find A PARTICULAR solution of the following differential equations by using INVERSE OPERATOR METHOD.…

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Q: 2. (2.xy – sin x)dx + ( - cos y dy = 0

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Q: Solve the following differential equation cos>x Y = xV dy = xV1-y dx Select one: O a. y= cos(xtanx +…

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Q: Given the solution to a differential equation, the corresponding roots are y = e³x [(C₁ + C3x) cos…

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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.