When is the derivative dy/dx of the parametric equations x(t)= 3cos t and y(t)=3sin t for Ost22n undefined? * t=0 t=T/2 t=3Tt/2 None of these

Q: 14) The curve given in parametric form by et +1 e2t – 3 with tER is a solution of the differential…

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Q: Obtain the differential equation of the family of lines passing through the center of the conics…

A: First find out the centre of given conic then write the equation of family of lines passing through…

Q: Let y = tan(2x + 2). Find the differential dy when z = 5 and dr = 0.2 Find the differential dy when…

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Q: Determine the Solutions of ke followsing differential eguation ě (5-x) dx Xy dy %3D

A: A separable differential equation is any equation that can be written in the form. y′=f(x)g(y). The…

Q: Oy' = x + y Oy = y +1 O y = y? + 1

A: The direction field of graph y'=x +y is given by

Q: Determine the integrating factor of the Bernoulli's equation given pelow: dy -y cot2x = y' csc2x dx…

A: ................(1) substitute take derivative .................put it back in equation 1

Q: 1.5 3-y QI) Evaluate the integral dx dy using polar coordinate

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Q: Express a general solution to 2x(1 – x)y" + (3 – 10x)y' – 6y = 0 Using Gaussian hypergeometric…

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Q: (b) y = e=* + + In(3z + 1) (c) y = (cos z)° + sin(2*) (d) y = #° arcsin(2*)

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Q: Compute the differential dy for y = (2x + sin x)². dy =

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Q: 2 - -1 -

A: We have to find an autonomous first order differential equation dydx=fy whose portrait is consistent…

Q: Can you help me step by step?

A: According to the given information the given function is:

Q: (a) Find the differential equation of the family of spheres of radius r with Centre on the xy-plane…

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Q: 11) (3ycos(3x)dx– sin(3x)dy)/ y = 0 12) sin(ß y)dx =-ß cos(B y)dy

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Q: The integrating factor of the LDE y'=x-2ycotx is A B с D sin²x sec²x csc²x cos²x

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Q: Find the differential equation for the family of parabolas with axis parallel to the x-axis and with…

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Q: Solve the solutions of (e + Iny +) dz + ( + + In r + siny) dy %3D

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: (ylny-exy)dx + ( + xlny) dy = 0

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Q: Obtain the differential equation of the family of circles with centers at the x-axis. O yy" – (y)³…

A: Here we have to find differntial equation Family of circle with Centre at X axis

Q: I need help with 1a)

A: straight line becomes y=x

Q: A particle moves on the circle x2+y2=25 in the xy-plane for time t≥0. At the time when the particle…

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Q: 1 Let y = -. Find dy and Ay at.x = 7 with dx = Ax = - 1. Enter the exact answers. dy = Ay =

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Q: The second order homogeneous Cauchy-Euler equation defined by: 2d²y +bx- dy ォマ +cy=0 dx2 dx (ay"…

A: We have to choose the correct answer

Q: 9. Find dy for y defined implicitly. by the equation xy-secly)-3x

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Q: What is the partial differential equation of the  z=xyf((x+y)/2)  surface family including p=zx ,…

A: Given: z=xyfx+y2

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

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Q: Find the differential dz of the function f(x, y) = 4y² + x²y-2xy and use it to approximate Az at…

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Q: Solve the DE Ssinx siny dx + cosx cosy dy = 0 by separation of variables. sin y A cos X B sinx cosy…

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Q: Find the solutton of followins ordinery differential e quation. yl- 2y' +y

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Q: Find if y%3D cos (2x)+ 2еж: dx dy

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Q: dx + 3x = cos(5t) dt with x(0) = 1. x(t) = %3D

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Q: find the third-order differentials z=e^x * cos y

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Q: The two-dimensional Laplace equation, = 0, describes potentials and steady-state temperature…

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Q: dx + 3x dt cos(5t) %3D with x(0) = 1. x(t) = %3D

A: The given initial value problem is: dxdt+3x=cos(5t) ;         x(0)=1

Q: Find the particular solution of dy - 2y = x³ sin 4x, y(1) = 2. dx %3D -

A: Using method of Linear Differential Equation.

Q: 8. When reduced to a linear DE of order one in z, bernoulli' equation dy/dx +y (1/x) =3x2y2

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Q: dx-(it 2x tany) dy-0

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Q: What is the characteristic equation for dy 2. dt d²y y +2+e' sin 3t dt 2

A: Characteristic equation for the given differential equation:

Q: Find the differential dy of the given function. y = x cos 2x dy Submit Anguer X

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Q: Find the differential of the function. y = V 4 + cos(0) -2 sin (0) dy V 4+ cos (0)

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Q: Find the differential dy of the given function. sec² x y x² + 2 sec 2x (2x²tan x + 4 tan x-2x)…

A: This question is based on quotient rule

Q: Evaluate the curve f(x, y) = 0 which passes through the point (0,4) and satisfies the differential…

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Q: 5. Find dt ,y = cos(sin(t – 4))

A: Given function is: y=cossint-4 Derivation of the above function with respect to t. dydt=ddtcossint-4

Q: Can you help me step by step?

A: Given information:

Q: (у — сos-x)dx + cos x dy %3D 0

A: The given equation is y-cos2xdx+cosx dy=0 rewrite it as y-cos2x+cosx…

Q: 4 cos x Let y = [, (2t + 1) (t + 8t)'/3 dt. Find dy/dx.

A: We will find out the required derivative for given function.

Q: x Siny dy + Cosxdx=0

A: Here, we need to solve the following differential equation.                           x sin y dy+cos…

Q: Obtain the differential equation of the family of circle with center on the x-axis ? a. yy"…

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Q: Find the solution of dx - (1+2x tany) dy = 0

A: Given: dx-1+2xtanydy=0