Which one of the following differential equations is linear? .A dy + xy = sin(x) dx .B dy + x²y = e® sin(x) dx .C dy + x²y = sin(x) dx .D dy +x*y = sin(y) sin(x) dx

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Q: The order of the differential equation d (D®y + D® sin æ) = sin æ dx O 5 6 O 7 O 4

A: In this question we have to find order of differential equation.

Q: 2x + x2 cos(x) + 1 -dx x2

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Q: (1) Find and classify the extremes value of f(x) = 6x* – 4x° over the interval [-2, 2). (2) A…

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Q: Solve D.E using bernouliis equation os(y)·y' + sin(y) =x

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Q: cos 2x dx (b) 4 cos t dt 0 2

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Q: Find the differential dy of the function y=-2²-3x - 2. Select one: O a. (-x-3)dx. O b. (-2x - 3)dx O…

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Q: The complementary function of the differential equation d²y dx² 2 + 3x +y= dy dx 1 is (1-x)²

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Q: f(x) = -12-21x + 18x^2 - 2.75x^3 what method will give a root of the function equal to - 0.287425 in…

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Q: dy The standard form of the differential equation cosx =1-y sinx is dx Select one: O a. +y sinx =…

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Q: 5

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Q: Jsin(x)cos(x² + 7)dx 2 2

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Q: Q: Solve y+8= Cos (x) ナ3sin(2x)

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Q: Is the equation separable, linear, bernoulli, or homogenous? x4 + 4xy2 2x3 + x²y +y³ а. dx b.…

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Q: + sin(x) = cos(x) 4x²

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Q: Solve the DE sinx siny dx + cosx cosy dy = 0 by separation of variables. (A) cos y sin x =C sin y B…

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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: Find d²y/dx² if y = x cos(2x) - sin²(x). Answer:

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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.