Compute the Frenet apparatus k, 7, T, N and B of the following curve a(s) = (1 - 12 √2 cos s, 3+ cos s, sin s). 2 Show that this curve is a circle and find its center and radius.

Q: Subject: Differential Equation Solve at least three (3) problem/sample using Non-Exact Differential…

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Q: HW8 : Topic differential equations 6.)

A: Given that,dxdy​+2x2​=3x⇒dxdy​=−2x2​+3x⇒dy=(−2x2​+3x)dxOn integration on both…

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Q: Determne the Laplace tranifom SinbtE

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Q: Solve the partial differential differential by separation of variables 70z + 6 = 0.

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Q: (x+y)dx + Jx? + y2 dy is an example of homogeneous functic OTRUE O FALSE

A: To determine whether the below differential equation is homogenous or not. x+ydx+x2+y2dy

Q: You have a data set with four independent variables and n = 42 observations. If the model is…

A: As per the question we are given a set of four independent variables with observations.Now we have…

Q: (D* – 1) y = 0 O y = cje* + cze* + c3 cos x + c4 sin x O y = cje* + czxe* + C3x? cosx + C4x³ sin x

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Q: What is the Laplace Transform of e^3t?

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Q: Direction fields are analytic solutions to ordinary differential equations. O True O False In most…

A: 1) Direction fields are not analytic solutions to ordinary differential equations. Instead, they…

Q: OUESTION 2 Show That yi= dx ta ĝ yo =-x° are both soluhions of y= xy'+ (y)? Are the c wn stant…

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Q: Differential Equations First Order Linear Differential Equations (v - cos ?x)dx + cos x dy = 0 %3D

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Q: Determine the Laplace transform S)०ठी ह

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Q: Find the slope of the curve x? – 3xy + y² – 4x + 2y + 1 = 0 at the point (1, -1). с. 1/3 d. 1/5 а.…

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Q: Solve the iべtial value probdem usine Laplace transformotion y (H) + 2y' (+) +5y(+) = esint y lo)-0

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Q: Research work : Power series of Ordinary Differential Equations

A: Introduction: The majority of ordinary differential equations are tedious and complex, and they…

Q: the plane according to the equations x = t² + 2t and y = 2t³ – 6t. Find dy/dx c. 3 d. 4

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Q: RFind the Jeneral Solution of -2. 6.

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Q: What is the Laplace Transform of t^4?

A: we have to find laplace transform of t4

Q: ifferential Equations

A: The given question is taken from the differential equation in which we have to find the solution of…

Q: 1. Tell whether t² et is a) piece-wise continuous for t≥0 and b) of exponential order for t≥0.

A: (.)  Given function is ,                     (.) Piecewise continuous function:   The function is a…

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Q: defirntion. yc fucon hg Suon ha hnd fhe Laplace Transfurm

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Q: Consider the differential equation 2²y" – x(x + 2)y + (x + 2)y = 0, x > 0 - 3.

A: Given: x2y''-xx+2y'+x+2y=0, x>0   To find: A second solution y2x using the solution y1x To show:…