3y? dy dx cos(пх)" o Consider the differential equation Let y = f(x) be the particular solution to the differential equation with initial condition f (3) = -1. The equation of the line tangent to the graph of f at (3,–1) can be written as y = mx + b. Find b.

Q: 7) Determine the particular solution to the differential equation y 3x-2 that passes through the…

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Q: y' – (cotx)y = -(2cosx)y-2

A: Handwriting solution

Q: Tell whether x = C1et + C2 cos 2t + C3 sin 2t is a solution to the differential equation x''' - x''…

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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: 05 y' + (cot x) y 3 sin x cosx

A: We have to solve the given differential equation.

Q: Sove the differential equation given the condition y(0)=6   dy/dx = (x/y)

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Q: 2. y2 y" + (y')³

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Q: Find the differential of each function: (a) y =(x' -3)* (b) y= V1-

A: Solution of this question is

Q: The solution of differential equation y' + (cot x) y = 3 sin x cos x, x=(0, π). is:

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Q: O Solve the differential equation y' + y cot x = y* sin x.

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Q: Solve the differential equation by variation of parameteres: y'' + y = sec(x) + tan(x)

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Q: the indicial equation of the differential equation xy'' -x2y'+(1+2x)y=0

A: Question from differential equations.

Q: Write down the differential equation that describes the total amount of pollutants P(t) in the tank…

A: Let's denote the following variables:P(t): the amount of pollutants in the tank at time t.Q_in: the…

Q: 1 – 2xy)y' = yly + sinx] ; when x = 0, у %3D 1 + cosx 1+y²

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Q: Solve the differential equation by variation of parameteres: y'' + y = csc(x)

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Q: Solve the differential equation with subs equation : S y(s) = (s+2)² +1 O e?"(cos t – 2 sin t) O e2"…

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Q: Solve the exact differential equation ( - 2 sin(x) – y sin(x) + 4 cos(x))dx + (cos(x))dy = 0 where…

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Q: dy (c) Find an expression for y = f(1) by solving the differential equation = -0.02y² with the…

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Q: Find the differential equation of all circles passing through the origin and having their centers on…

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Q: (x^2-4x-4)(y^2+1)dx+2y(x^3-2x^2+4x-8)dy=0; when x=4,y=1

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Q: Find the general solution to the differential equation y' +2ry = xe- sin r

A: Linear differential equation

Q: find the degree of the differential equation y''-12cosec y= 0   3 1 4 or 2

A: The order of the differential equation is 2.

Q: Find the order and the degree of the differential equation cos x COS X A 2,4 B) 5, 8 © 5,4 5,2

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Q: Q': Solve this first order differential equation dy 2 +y = -x²y2 cos x dx

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Q: Suppose that a hare starts at the origin (0, 0) and runs with speed Vh along the y-axis toward a…

A: This question is from differential equation.

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.