Find the linearization of f(x) = 3+ S" sec(t - 1)dt at .2 END x = -1

Q: Use the slope field for the differential equation y′ = 1/x, where x > 0, to sketch the graph of…

A: Given the differential equation y’ = 1/x, where x > 0, we have to sketch the graph of the…

Q: Use a computer algebra system to graph the slope field for the differential equation and graph the…

A: Given Data The integral is ꭍ03 xex²dx.   Let,

Q: Form the partial differential equation by eliminating the arbitary from z=xy+f(x2+y2)

A: Form the partial differential equation by eliminating the arbitary from z=xy+f(x2+y2)

Q: Question 1 Find the total differential of the function z = 7x³y8 Odz = 7x¹y³dx + 7x³y+dy dz =…

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Q: Consider a disease where immunity is lost. On average, after n days, a recovered person becomes…

A: Let t be the time ,which is an independent variable (measured in days). We have to take two related…

Q: Fromthe partial differential equation by elimaniting the arbitary function ø, and ø, from z= 0 (x…

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Q: What is the differential equation of the orthogonal trajectories of the family of curves x-3xy- 2y²…

A: This is a simple question based on differential equations which could be solved using the basic…

Q: What is the differential equation of the orthogonal trajectories of the family of curves x2 - 3xy-…

A: Given family of Curve is x2-3xy-2y2=C

Q: y' – y = 2te',

A: Laplace transform: L(y'(t))=py(p)-y(0) L(y(t))=y(p) L(2tet)=2(p-1)2

Q: Solve the differential equation using Laplace transform of y"+y=6sin2t ; when y(0)=3 and y'(0)=1

A: The given differential equation is…

Q: 5. Find the differential equa tion of (x-c.)" †C2Y C3

A: We will eliminate the arbitrary constants. As there are 3 constants so it'll be differentiated…

Q: Construct a linear first-order differential equation for which all solutions are asymptotic to the…

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Q: Find the general solution of the differential equation with the help of lablace transform

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Q: Vz²+1 ev° dy In a

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Q: Calculate the derivative 23 d dz using Part 2 of the Fundamental Theorem of Calculus. 23 dt = dz -1

A: ddx∫-1x6t5-t23dt = ?

Q: Write the corresponding differential equation in time domain. F(s) X(s) s³ + 11s² + 12s + 18 s+3…

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Q: The differential equation of the family of curves orthogonal to x² + y? = C² is

A: Solve the above questions.

Q: 3) Find the solution af equation that satisties the qiven mitial condition. of the differential L0…

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Q: What is the differential equation of the orthogonal trajectories of x3 = Cy? www (1) 3xdx + 2ydy = 0…

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Q: The linear Differential equation of any order if there is no constant term s present is known as?

A: We have given The linear Differential equation of any order if there is no constant term s present,…

Q: The partial differential equation is classified as a. hyperbolic b. elliptic c. elliptic / parabolic…

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Q: form the partial differential equation by eliminating the arbitrary function from z=xy+f(x2+y2)

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Q: Find the derivative. (Hint: en a = x) %3D y =S 4 In x et dt O * - 1 4x3

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Q: Form the partial differential equation by eliminating the arbitary function from z = xy + f(x² +y°)

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Q: 8) Find the linearization of f(x) = 6 + X+1 tan 4 dt at x = 0. 1.

A: On solving this we will get

Q: Solve and prove that the solution derived from Laplace Transform of Derivatives and the initial…

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Q: Find the general solution of the differential equation and check the result by differentiation.…

A: Given the differential equation:

Q: Find the linearization of ƒ(x) = √(1 + x) + sin x - 0.5 at x = 0.

A: substitute 0 for x in f(x)=1+x+sin x-0.5 to obtain the value of f(x) at x=0 f(x)=1+x+sin…

Q: What is the differential equation of the orthogonal trajectories of the family of curves y = Cx ? (A…

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Q: Derive a differential equation for the orthogonal trajectories of the family  of curves xy=c

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Q: The transversality condition holds for the partial differential equation X4x +Uy=0 with the initial…

A: In the given question we have to check the transversality  condition of the given P.D.E s.t xux+uy=0…

Q: Form the partial differential equation by eliminating the arbitary function from z=xy+f(x2+y2)

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Q: What is the differential equation of the orthogonal trajectories of x3 = Cy?? (1) 3xdx + 2ydy = 0…

A: Given x3 = Cy2

Q: Find the general solution of the differential equation and check the result by differentiation.…

A: On simplification, we get Now integrating on both sides, we get

Q: Find the derivative. |4t +5 dt O A. V4x+5 O B. V4x+5 - 5 2 OC. V4x +5 OD. (ax + 5)/2

A: It is given that, y=∫0x4t+5 dtWe have to find the derivative.

Q: Show that: a) The price of the stock itself, that is when u(t, X1) = X1, solves the…

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.  g(x)=…

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Q: Find Zxx=Zyy=Zxy=

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Q: Find the function ?(?) that satisfies the differential equation dy/dt - 2ty = -6t2et^2 and the…

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Q: 4. Find the Linearization of f (x) sinx at a Provide your answer as L(x) =?

A: The given problem is to find the linearization of the given function at given point. Given…

Q: What is the slope of the segment in the slope field for dy/dt= ty + 1 at the point (2, 3)?

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Q: 2) Find second derivative d'F/dt? of 312-2 F? = 13 and find it at (t,F) = (-1,2)

A: We have to find the required second derivative at the given point.

Q: Calculate the derivative 26 dt d (6£4 dx using Part 2 of the Fundamental Theorem of Calculus. 26 dt…

A: According to the fundamental theorem o calculus:

Q: What is the differential equation of the orthogonal trajectories of the family of curves X2 -…

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Q: Derive a differential equation for the orthogonal trajectories of the family of curves xy c %3D

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Q: Find the maximum directional derivative of the function f(x.y) = x In y + x2y2 at the point (-1,1).…

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Q: The partial differential equation is classified as a. hyperbolic O b. parabolic O. Circular o d.…

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