Describe the bifurcation for the following dy - Ay - y %3D dt

Q: FIND THE GIVEN DIFFERENTI Homogeneous Eguation ( 3x + 4y) dx - dy -0

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Q: Find the differential of each fuction. a) %3D dy= ? b) U COS U dy= ?

A: Given,  (a) y = s7+8s  (b) y = u cosu  We have to find the differential of each function.

Q: Integrate F(r)= [e2*, e²y,e²²] along the helix that cuts the z-axis at c.

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Q: Write the linear DE of order one x2dy +(2xy- x+ 1)dx = 0 in standard form + yP(x) = Q(x) or dx + x…

A: Hence option (B) is correct.

Q: If the substitution u = x/2 is made, the integral 1-(플)2 dx = %3D -

A: Let's integrate.

Q: Transform rydy = y²dx + ydy into a separation variable form. dr ydy = 0 %3D O de dy : = 0 x-1 fip O…

A: Solving the problem by the said method.

Q: Express the given parametrization in the form y f(x) by eliminating the parameter. - In(t), y = 5 +…

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Q: differenetiate parametrically to find dy/dx in terms of t:  x=1/t+1 , y=2t^2-4

A: please use according to form i did solved two equation because your question is not write clear that…

Q: convert the fello wing differrencial equcetion into er system Sketch he phase portrait of fhe sustem…

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Q: Find the cifferential dy of the given funddtion. (Use "cx" for dx.) y- dy

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Q: sin xdx 3 S cos° x

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Q: y = In(sec t), x = log(cosec t) In(sect), x %3D %3D

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Q: Evaluate f (x + 2y)dx + (y – 2x)dy around the ellipse C defined by x = 4 cos 0, y = %3D | C 3 sin…

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Q: Calculate the volue of the de integral 23 - 1 2 F soro fallowing c a) Cil2+1|= 1 Curves. 6)…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: dy Find xp y%3D COS dt

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Q: (a) 3y' In (u) dy

A: We will use the ILATE rule in this example to solve the integral and for solving we use the formula…

Q: Draw the bifurcation diagram for dy/dt = y(a-y)

A: We can use concept of critical points in order to solve the given problem.

Q: Compute f cos(Tæ) dæ + 10xy dy, where y is a part of parabola y = 3x? from the point (0,0) to the…

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Q: Compute dy/dx and d^2y/dx^2 for the following parametric functions

A: Given: y=e2tsin2tx=e2tcos2t

Q: Find a parametrization c(t) of the line y = 5 − 2x such thatc(0) = (2, 1).

A: This question comes under the category of calculus and from the parametrization of the line here we…

Q: integrate by parts t7 sin⁡(2t4 )dt

A: We have given indefinite integration with respect to x. While solving the indefinite integral, we…

Q: Use Green's theorem to evaluate (2y dx-x dy) around the closed curve C. 27 (2,8) 8. 4. C. -2 (1,-1)

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Q: Calculate the “n” of the DE with the given 6y^2dx-x(2x^3+y)dy=0

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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: find the general salution of ly-3y12)de = xdy,

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Q: B. Use Greens Theorem to evalute é yx dx + x*dy as shown bele Left Half of (0.5)

A: Introduction: Let C denote the positively oriented, smooth, and simple closed curve in a plane and D…

Q: Express the given parametrization in the form y = f(x) by eliminating the parameter. x = 5t + 2, y =…

A: Given

Q: Evaluate the integrand S(2 + 5x)e dx using IBP. A. 5xe – 39e* + c B. 15xe – 39e* +c c. 15xe* – 9e*…

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Q: dy %3D xp

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Q: TIJY sin /x dx dy by using the transformation u= Vy. v= Vx ? 0 0

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Q: Consider the 2nd order equation 2²y+ Sin dy y² +y = Choose the ight assertion A) the linearized…

A: consider the 2nd order equation d2ydx2+sindydt+y2+y=0 this is a non linear homogenous differential…

Q: Evaluate xy dx + a*dy, where C is the rectangle with vertices (0,0), (2,0), (2,1), and (0,1)

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Q: Exercise 6: Compute dx x3 (a) Using a hyperbolic substitution; (b) Using a trigonometric…

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Q: dx dy. If y =x is expressed with parametric equations such that - 6when x=1, what is dt dt 12 -6 -12

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Q: y = logt, x = t -4 %3D

A: Let the given function be, y=logtx=t-4 Put x+4 for t in the function implies, y=log(x+4)

Q: Find at x = 4 if y = 4x² - 2 and dt da dt Question Help: Video Submit Question dt = - 3.

A: We are asked to find the derivatives.

Q: Given the DE. 3dy + ydx = (1-2x)y4, Rewrite the DE into Linear Form at v O dx-v = 2x+1 dx-v=2x-1…

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Q: Express x = In(3t), y = 5 – t in the form y = f(x) by eliminating the parameter. %3D y =

A: Given that x=ln(3t) and y= 5-t we need to write y=f(x) by eliminating the parameter  Now , x= ln(3t)…

Q: Find the general soultion of the follwoing equations dy cos x + y = cos²x, dx *+ y = xy/3.

A: Differential equation

Q: I = 1- 6x?y dx dy.

A: In double integration, we start integrating from the inner part with respect to the inner variable.…

Q: ,u = TX, X - 1 %3D %3D (Cosuz 4 dy

A: Differentiation using chain rule

Q: Use the equation e = 2xyz+1 to find %3D az/əx and əz/ay.

A: We have to find

Q: -y=- coS I: dz

A: it is a first order differential equation and it is linear differential equation

Q: Find dy/dx by using Leibniz’s notation for the chain rule: dy/dx = (dy/du) (du/dx)  y = 6u3,u = 7x…

A: To find dydx bu using Leibniz's notation for the chain rule: dydx=dydududxy=6u3, u=7x-4

Q: t (a) y = dt Vt? +1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Assume x and y are functions of t. Evaluate DY/DT for 4xy-4x + 6y^3 = -258, with the conditions…

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Q: Find a cubic approximation of r(θ) = (θ 2 , eθ , θ) at θ = 0.

A: given rθ=θ2,eθ,θ to find - cubic approximation at θ=0

Q: Find dy/dt. y = cos(~/4t + 11) %3D

A: The given equation is, y=cos4t+11 So, the derivative of the given function is:…

Q: Find (a) PSD of U(t) = X(t) + Y(t) (b) Sxy (@) and SXu (@) %3D

A: Answer: For the given data, we get

Q: Find eauation of ny Perbola at o Ne tne foci Fz the and crankshafto f Fi Fz ny Perbola= Fi F

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