%3D The differential equation y"+2y+3y= siny is Select the correct answer. O second order nonlinear O second order linear O first order nonlinear O first order linear third order linear Previous

Q: du Consider a differential equation = p(u), where p(u) has the graph shown in dt 3. Fig. 1. (a) At…

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Q: What best describes the differential equation =-3ty+ cos(t)? It is separable and linear. It is…

A: It is linear.

Q: Find which direction field belongs to the differential equation dt dx = t2 – x. (You can explain by…

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Q: d²y dx² - dy - 3- dx +2y= xe* + 2x

A: The given differential equation is                                The general solution will be the…

Q: (x² + b²)dy = 2x[(x² + b?)² + 3y]dx; y(b) = 4b*;

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Q: dy x + y? 2xy (X + y)2

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Q: dy 2ух + ух?, then dx 1 dy = [(x+x²)dx . 2у + y If given a differential equation Select one: O True…

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Q: (x-y)y-y-tanx is second order linear differential equation.

A: False.

Q: Which one of the following differential equation is the Bernoulli's form of differential equation?…

A: Bernoullis differential equation

Q: portrait: -10 -6 x(t) = y(t) y(t) =-9.sin(x(t)) - y(t)/5 15 -pi 10 -10 -15 y 1. What are the…

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Q: 1.1 (x + siny)dx + (xcosy – 2y)dy = 0

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Q: Solve the differential equation (Dª + 2D³ + D² + 2D) y = 4 8a +e - 2 cos (2x)

A: Non homogeneous differential equation

Q: Example 8 : Form the differential equation by eliminating the arbitrary function ƒ fromn xyz = f (x2…

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Q: 3. Find the differential equation having the solution as of the following: a. y = c1e¬* + c2e¬2x + x…

A: As per our guideline if multiple questions are posted we are supposed answer only the first one.…

Q: Which of the following is a linear differential equation? O da-t{1+t²) sec² ædt = 0 O…

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Q: Linearize the following nonlinear differential equations for the input equilib- rium of u-2 9+uy-u.

A: 4.

Q: Classify the differential equation by order and linearity. ď²y dt² +cos t dy dt. + 3y = sin(2t…

A: We Know that, Order of a differential equation can be determined by examining the highest derivative…

Q: Solve (xy + x/2 + y+ v2) dx + (x²y+ y – x² /2 – v2) dy = 0 - -

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Q: dy ycosy dt ||

A: Firstly we draw the graph then draw a phase line.

Q: Which of the equations below is a second order nonlinear differential equation? O A. B. 2 x²y - (1 -…

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Q: Determine the order of the given differential equation and state whether the equation is linear or…

A: Definition: The order of differential equation is order of the highest derivative term in the…

Q: Solve the linear differential equation dy y = 2x2 - %3D dx x

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Q: Present a second order differential equation. Identify the corresponding auxiliary equation.…

A: Consider the second order differential equation : y''+5y'+6y=0.

Q: Solve the differential equation dy dx 3y3 1 %3D By the method of separating the variables

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Q: Using the differential equation linear in x and y, find (3x-y+6)dx + (6x-2y-6) = 0; hint: case 1

A: Here the problem should be, (3x-y+6)dx + (6x-2y-6)dy = 0

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.