2 dx/dt + dy/dt - 2x = 1   Dx/dt + dy/dt -3x -3y=2 X(0)=0,   y(0)=0

Q: du dx PDES du (0, t)=0=(2n, t) dx i.c.: u(x, o) = f(x) du i. c. : (x,0) = 0 dt Please write solution…

A: Wave PDE is ∂2u∂t2=∂2u∂x2 with conditions ∂u∂x(0,t)=0=∂u∂x(2π,t) i.c. : u(x,0)=f(x)i.c.: dudt(x,0)=0…

Q: Determine if y=5 cos x and x=31²-5t+3 dx

A: Given,             y=5cosx , x=3t2-5t+3To find : Determine dydt

Q: general equation of (z-t)dz=(z+t)dt

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Q: 1. Explain why / f'(t) dt = f(b) – f (a). ||

A: Refer to image below.

Q: X+y e" dy dx

A:

Q: Let y tan 1)2x then dy/dx at x-1 is

A:

Q: Calculate 2 4-y2 IL dy de y dx dy. T sinx SSasing dy dx @ $ ydydk

A: Hello, thanks for your question but according to our policy I am answering the first three subparts.…

Q: critical ininibers f have? Itow many does hee 2. f'Cx) = 100 cos-L) %3D 2. 10tx

A: Given that: f'(x)=100cos2x10+x2-1

Q: evaluar la integral donde C es el circulo de rotacion positiva  de e^z/1 -cos(z) dz donde C es |Z |=…

A: Consider the given function  fz=ez1-cosz

Q: In an experiment, a test tube containing a chemical is immersed in a water bath. At t = 0, the…

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Q: 0 -2t t 3 sin ³t dt.

A: Laplace transform is used to solve a differential equation. By solving a differential equation we…

Q: Integrate the function. S dt o. O. V6-R+ sin'1 6t + C 6t o. + C 612 o. 6t 16-12

A: We can find the integral as below.

Q: Describe the bifurcation when A is the parameter.   dy/dt = e^-y^t +A

A: The differential equation you've provided is a first-order ordinary differential equation (ODE) with…

Q: linear or not linear? 1) dy 1ax +exy = x²4² dx 2) y + e* sinx= x³y² 31 y\nx - x²y = xy! 4) dy + cosy…

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Q: Inficate wheter or not these equilibium are stable,semi stable or unstable.  dy/dt= (y+1)(3-y)

A: An equilibrium solution is said to be Asymptotically Stable if on both sides of this equilibrium…

Q: Calculate dy/dt using the given information. x^4/3+y^4/3=2; dx/dt=6, x=1, y=1

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Q: dy cosx+ ysin x =1 dx

A:

Q: Find y" if y = cot(9x 2r+ 8).

A: Given, y= cot(9x4-2x +8)   To find: y''

Q: хе*+2 y = e2x+1

A:

Q: Evaluate the in tegrol : S sin 5x cog3 5xdx

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Q: Hi w 1I | Seと(as) dx sing

A: One of the two main parts of calculus which are concerned with the study of integrals, as opposed to…

Q: Solue d?3e 2 +4x=5in zt using methoel I Vorintion of parameters .

A:

Q: Implicit DiffeYentia tion Find dy if +Sin xy Find dy if 2X- 3y=8 Use implicit differentiation to…

A: We have to differentiate the given expression.

Q: -5 1 -dx Jo 2x+4 1 dt 2 V6-t 1 ii) S,

A:

Q: 1. dly dx 64XY

A: We will answer the first question since exact one was not specified. Please resubmit the question…

Q: d. Evaluate dx dt (t2 +2t) -1

A: We use the Leibnitz rule of differentiation under integral sign to solve the given problem.

Q: Dy/dt = 2y(5-y) is the equation autonomous?

A: An autonomous equation is a differential equation in which the independent variable does not appear…

Q: Resuelva la ecuación diferencial con coeficientes homogéneos (2²+2y²) dr-rydy = 0, y(-1)=1..

A: Introduction: A homogeneous differential equation is one with the formula dydx=f(x,y)g(x,y), where…

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.